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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Anbar, N.; Bassa, A.; Beelen, P., A complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function field \textit{Finite Fields Appl.}, 48, 318-330, (2017) Curves over finite and local fields, Separable extensions, Galois theory, Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves, Automorphisms of curves
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Theta functions and abelian varieties, Loop groups and related constructions, group-theoretic treatment
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Enumerative problems (combinatorial problems) in algebraic geometry, Special surfaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces DOI: 10.1006/jnth.2001.2692 Abelian varieties of dimension \(> 1\), Jacobians, Prym varieties, Arithmetic ground fields for abelian varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Global ground fields in algebraic geometry
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces M. L. Brown, On a conjecture of Tate for elliptic surfaces over finite fields, Proc. London Math. Soc. (3) 69 (1994), no. 3, 489 -- 514. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic functions and function fields in algebraic geometry, Rational points, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic surfaces, elliptic or Calabi-Yau fibrations
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Sir, P. Swinnerton-Dyer: Rational points on certain intersections of two quadrics. Abelian varieties, 273-292 (1995) Rational points, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Fastenberg, L., Mordell-Weil groups in procyclic extensions of a function field, Ph.D. Thesis, Yale University, 1996. Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Elliptic curves over global fields, Elliptic curves
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Hassett, B; Tschinkel, Y, Quartic del Pezzo surfaces over function fields of curves, Cent. Eur. J. Math., 12, 395-420, (2014) Arithmetic ground fields (finite, local, global) and families or fibrations, Families, moduli, classification: algebraic theory, Structure of families (Picard-Lefschetz, monodromy, etc.), Jacobians, Prym varieties, Rational points, Fano varieties
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Madore D.: Approximation faible aux places de bonne réduction sur les surfaces cubiques sur les corps de fonctions. Bull. Soc. Math. France 134(4), 475--485 (2006) Rational and ruled surfaces, Rational points, Algebraic functions and function fields in algebraic geometry, Cubic and quartic Diophantine equations
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Leprévost, Famille de courbes de genre 2 munies d'une classe de diviseurs rationnels d'ordre 13, C. R. Acad. Sci. Paris Sér. I Math. 313 pp 451-- (1991) Jacobians, Prym varieties, Rational points
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Tzermias P.: Mordell-Weil groups of the Jacobian of the 5-th Fermat curve. Proc. Amer. Math. Soc. 125, 663--668 (1997) Jacobians, Prym varieties, Rational points, Arithmetic ground fields for curves, Higher degree equations; Fermat's equation
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Transcendence (general theory), Simultaneous homogeneous approximation, linear forms, Inhomogeneous linear forms
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Elliptic curves, Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Jacobians, Prym varieties, Arithmetic ground fields for curves, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic algebraic geometry (Diophantine geometry), Algebraic coding theory; cryptography (number-theoretic aspects), Proceedings of conferences of miscellaneous specific interest
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Jacobians, Prym varieties
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Birch, A.: Diophantine analysis and modular functions in ''algebraic geometry''. (1970) Elliptic curves, Elliptic curves over global fields, Rational points, Modular and automorphic functions, Jacobians, Prym varieties
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Flynn E.V., Redmond J.: Application of covering techniques to families of curves. J. Number Theory. 101, 376--397 (2003) Coverings of curves, fundamental group, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Jacobians, Prym varieties, Rational points
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Xing Ch., On supersingular abelian varieties of dimension two over finite fields, Finite Fields Appl., 1996, 2(4), 407--421 Abelian varieties of dimension \(> 1\), Curves over finite and local fields, Rational points, Jacobians, Prym varieties
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Eilbeck, JC; Enolskii, VZ; Matsutani, S; Ônishi, Y; Previato, E, Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties, J. Reine Angew. Math., 619, 37-48, (2008) Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Jacobians, Prym varieties, Theta functions and curves; Schottky problem, Special algebraic curves and curves of low genus, Elliptic curves
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Baier, S.; Browning, T.D., Inhomogeneous cubic congruences and rational points on del Pezzo surfaces, J. reine angew. Math., 680, 69-151, (2013) Elliptic curves over global fields, Finite ground fields in algebraic geometry, Special surfaces, Modular and Shimura varieties, Global ground fields in algebraic geometry, Rational points, Arithmetic ground fields for surfaces or higher-dimensional varieties, Counting solutions of Diophantine equations
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Lange H.: Higher secant varieties of curves and the theorem of Nagata on ruled surfaces. Manuscripta Math. 47, 263--269 (1984) Projective techniques in algebraic geometry, Special algebraic curves and curves of low genus, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Rational points, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces DOI: 10.2140/pjm.1972.43.443 Special surfaces, Classical real and complex (co)homology in algebraic geometry, Rational points
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Rational points, Diophantine approximation, transcendental number theory, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Ionescu, P., Ample and very ample divisors on a surface, Rev. Roum. Math. Pures Appl., 33 (1988), 349-358. Special surfaces, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Hassett B., Tschinkel Y.: Approximation at places of bad reduction for rationally connected varieties. Pure Appl. Math. Q. 4(3), 743--766 (2008) Special varieties, Rational points, Algebraic functions and function fields in algebraic geometry, Cubic and quartic Diophantine equations
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces B. Mazur, Speculations about the topology of rational points: an update, Astérisque 228 (1995), 4, 165 -- 182. Columbia University Number Theory Seminar (New York, 1992). Rational points, Topological properties in algebraic geometry, Arithmetic algebraic geometry (Diophantine geometry), Transcendence (general theory), Global ground fields in algebraic geometry, Special surfaces
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces S. O. Gorchinskii, ``Poincare\' biextension and ide\?les on an algebraic curve'', Sb. Math., 197:1 (2006), 23 -- 36 Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Extensions, wreath products, and other compositions of groups, Jacobians, Prym varieties, Arithmetic ground fields for curves
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces T. Shioda, Constructing curves with high rank via symmetry, Amer. J. Math., to appear. Algebraic functions and function fields in algebraic geometry, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces A. Buium and J. F. Voloch, ''Integral points of abelian varieties over function fields of characteristic zero,'' Math. Ann., vol. 297, iss. 2, pp. 303-307, 1993. Rational points, Algebraic theory of abelian varieties, Algebraic functions and function fields in algebraic geometry
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Curves over finite and local fields, Rational points, Algebraic functions and function fields in algebraic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Rational points, Jacobians, Prym varieties
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Matthew J. Klassen and Edward F. Schaefer, Arithmetic and geometry of the curve \?³+1=\?\(^{4}\), Acta Arith. 74 (1996), no. 3, 241 -- 257. Rational points, Jacobians, Prym varieties, Cubic and quartic Diophantine equations, Riemann surfaces; Weierstrass points; gap sequences
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Angles B., Maire C.: A note on tamely ramified towers of global function fields. Finite Field Appl. \textbf{8}, 207-215 (2002). Curves over finite and local fields, Arithmetic theory of algebraic function fields, Class field theory, Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Rational points, Arithmetic ground fields for curves
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Topological properties in algebraic geometry, Rational points, Special surfaces
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Martens, H.H.: On the reduction of Abelian integrals and a problem of H. Hopf. In: Curves, Jacobians, and abelian varieties (Amherst, MA, 1990), pp. 287--296, Contemporary Mathematics, vol. 136, American Mathematical Society, Providence (1992) Riemann surfaces; Weierstrass points; gap sequences, Jacobians, Prym varieties, Homotopy theory and fundamental groups in algebraic geometry, Algebraic theory of abelian varieties, Algebraic functions and function fields in algebraic geometry, Compact Riemann surfaces and uniformization
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Linear algebraic groups over local fields and their integers, Bilinear and Hermitian forms, Classical groups, Galois cohomology of linear algebraic groups, Algebraic functions and function fields in algebraic geometry, Rational points, Other nonalgebraically closed ground fields in algebraic geometry, Finite-dimensional division rings, Rings with involution; Lie, Jordan and other nonassociative structures
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Rational points
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces External book reviews, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Relevant commutative algebra, Varieties and morphisms, Rational and birational maps, Divisors, linear systems, invertible sheaves, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Classical real and complex (co)homology in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Special surfaces
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Kamienny, S, Torsion points on elliptic curves over all quadratic fields. duke, Math. J, 53, 157-162, (1986) Special algebraic curves and curves of low genus, Rational points, Quadratic extensions, Arithmetic ground fields for curves, Elliptic curves, Jacobians, Prym varieties
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces R. H. Buchholz, J. A. MacDougall, When Newton met Diophantus: A study of rational-derived polynomials and their extension to quadratic fields, J. Number Theory 81 no. 2 (2000) 210-233. Cubic and quartic Diophantine equations, Higher degree equations; Fermat's equation, Polynomials in number theory, Elliptic curves, Polynomials (irreducibility, etc.), Special surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Elliptic curves over global fields
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Jacobians, Prym varieties, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Coverings of curves, fundamental group
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Rational points, Global ground fields in algebraic geometry, Complete intersections, Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Rational and unirational varieties
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Rational numbers as sums of fractions, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Arithmetic ground fields for curves, Jacobians, Prym varieties, Plane and space curves
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces External book reviews, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Shioda, Weierstrass transformations and cubic surfaces, Comment. Math. Univ. Sancti Pauli 44 pp 109-- (1995) Elliptic curves, Special surfaces, Rational points, Elliptic curves over global fields
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Colliot-Thélène, J.-L.; Sansuc, J.-J., La descente sur les variétés rationnelles. II, Duke Math. J., 54, 2, 375-492, (1987) Rational and unirational varieties, Rational points, Global ground fields in algebraic geometry, Special surfaces
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Beltrametti, M; Lanteri, A, On the 2- and the 3-connectedness of ample divisors on a surface, Manuscr. Math., 58, 109-128, (1987) Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Mazur, B.; Wiles, A., \textit{analogies between function fields and number fields}, Amer. J. Math., 105, 507-521, (1983) Zeta functions and \(L\)-functions, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Zeta functions and \(L\)-functions of number fields, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Jacobians, Prym varieties
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Konno, K., Even canonical surfaces with small \(K^2\), I, Nagoya Math. J., 129, 115-146, (1993) Special surfaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Coleman, Robert F., Torsion points on curves and \textit{p}-adic abelian integrals, Ann. of Math. (2), 121, 1, 111-168, (1985), MR782557 Analytic theory of abelian varieties; abelian integrals and differentials, Local ground fields in algebraic geometry, Complex multiplication and abelian varieties, Rational points, Special algebraic curves and curves of low genus, Elliptic curves, Algebraic functions and function fields in algebraic geometry, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Tzermias, Explicit rational functions on Fermat curves and a theorem of Greenberg, Compos. Math. 122 pp 337-- (2000) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Jacobians, Prym varieties, Special algebraic curves and curves of low genus
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces L. Fastenberg, Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces , Proc. Amer. Math. Soc. 129 (2001), 1877-1883. JSTOR: Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves over global fields, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Families, moduli, classification: algebraic theory, Compact complex surfaces, Special surfaces, Jacobians, Prym varieties
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Buium, A.: On a question of B. Mazur. Duke Math. J. 75, 639--644 (1994) Riemann surfaces; Weierstrass points; gap sequences, Jacobians, Prym varieties, Compact Riemann surfaces and uniformization, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Enumerative problems (combinatorial problems) in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Singularities of curves, local rings, Jacobians, Prym varieties
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Kerner, D.: Enumeration of singular algebraic curves. Israel J. Math. 155, 1--56 (corrected version: arXive,math.AG/0407358) (2006) Enumerative problems (combinatorial problems) in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Singularities of curves, local rings, Jacobians, Prym varieties
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Leprévost, Sur une conjecture sur les points de torsion rationnels des jacobiennes de courbes, J. reine angew. Math. 473 pp 59-- (1996) Jacobians, Prym varieties, Rational points
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Cassels, J. W. S.; Flynn, E. V., Prolegomena to a Middlebrow Arithmetic of Curves of Genus \(2\), London Mathematical Society Lecture Note Series 230, xiv+219 pp., (1996), Cambridge University Press, Cambridge Special algebraic curves and curves of low genus, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arithmetic ground fields for curves, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Computational aspects of algebraic curves, Computer solution of Diophantine equations
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces DOI: 10.1080/00036819708840541 Algebraic functions and function fields in algebraic geometry, Differentials on Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences, Jacobians, Prym varieties, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces L. Caporaso, ''On certain uniformity properties of curves over function fields,'' Compositio Math., vol. 130, iss. 1, pp. 1-19, 2002. Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Rational points
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Ueno, K, A remark on automorphisms of Kummer surfaces in characteristic p, J. Math. Kyoto Univ., 26, 3, (1986) Special surfaces, Rational points, Finite ground fields in algebraic geometry, Global differential geometry of Hermitian and Kählerian manifolds
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces J. Estrada Sarlabous, On the Jacobian varieties of Picard curves defined over fields of characteristic \?>0, Math. Nachr. 152 (1991), 329 -- 340. Finite ground fields in algebraic geometry, Jacobians, Prym varieties, Enumerative problems (combinatorial problems) in algebraic geometry, Special algebraic curves and curves of low genus, Rational points
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces M. Andreatta - A.J. Sommese , Classification of irreducible projective surfaces of smooth section genus \leq 3 , preprint. Zbl 0719.14025 Special surfaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces K.-V. Nguyen, ''On upper bounds of virtual Mordell-Weil ranks,''Osaka J. Math.,34, 101--114 (1997). Rational points, Jacobians, Prym varieties, Picard groups
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces I. Kausz, Eine Abschätzung der Selbstschnittzahl des kanonischen Divisors auf arithmetischen Flächen mit hyperelliptischer generischer Faser, Dissertation, Köln (1995). Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Rational points, Rational and ruled surfaces, Divisors, linear systems, invertible sheaves
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces B. Hassett and Y. Tschinkel. Weak approximation for hypersurfaces of low degree. \textit{Algebraic geometry 2005}, Proc. Symp. Pure Math., Vol. 80. AMS, Providence (2009), pp. 937-955. Rational points, Algebraic functions and function fields in algebraic geometry, Rational and unirational varieties, Fibrations, degenerations in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Hypersurfaces and algebraic geometry
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Algebraic functions and function fields in algebraic geometry
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Étale and other Grothendieck topologies and (co)homologies, Special surfaces, Local ground fields in algebraic geometry, Galois cohomology, Brauer groups of schemes, Algebraic functions and function fields in algebraic geometry
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Rational points, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Anderson, G. W.: Lacunary wronskians on genus one curves. J. number theory 115, 197-214 (2005) Elliptic curves, Jacobians, Prym varieties, Plane and space curves, Syzygies, resolutions, complexes and commutative rings, Algebraic functions and function fields in algebraic geometry
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces E. Victor Flynn, Coverings of curves of genus 2, Algorithmic number theory (Leiden, 2000) Lecture Notes in Comput. Sci., vol. 1838, Springer, Berlin, 2000, pp. 65 -- 84. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Arithmetic ground fields for curves, Elliptic curves over global fields, Coverings of curves, fundamental group, Jacobians, Prym varieties, Elliptic curves
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Bras-Amorós, M; Vico-Oton, A, On the Geil-Matsumoto bound and the length of AG codes, Des. Codes Cryptogr., 70, 117-125, (2014) Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry, Rational points, Curves over finite and local fields
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces G. Heier, ''Uniformly effective Shafarevich conjecture on families of hyperbolic curves over a curve with prescribed degeneracy locus,'' J. Math. Pures Appl., vol. 83, iss. 7, pp. 845-867, 2004. Algebraic functions and function fields in algebraic geometry, Rational points
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Families, moduli of curves (algebraic), Rational points, Jacobians, Prym varieties
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Elliptic curves, Rational points, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Elliptic curves over global fields, Arithmetic varieties and schemes; Arakelov theory; heights
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces [15]P. Le Duff, Repr'esentations galoisiennes associ'ees aux points d'ordre l des jacobiennes de certaines courbes de genre 2, Bull. Soc. Math. France 126 (1998), 507--524. Jacobians, Prym varieties, Finite ground fields in algebraic geometry, Rational points, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Continued fractions; complex-analytic aspects
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Iwan Duursma and Jean-Yves Enjalbert, Bounds for completely decomposable Jacobians, Finite fields with applications to coding theory, cryptography and related areas (Oaxaca, 2001) Springer, Berlin, 2002, pp. 86 -- 93. Jacobians, Prym varieties, Rational points, Finite ground fields in algebraic geometry, Curves over finite and local fields
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Arithmetic ground fields for surfaces or higher-dimensional varieties, Galois cohomology, Rational points, Birational automorphisms, Cremona group and generalizations, Special surfaces
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Saitō, M-H; Sakakibara, K-I, On Mordell-Weil lattices of higher genus fibrations on rational surfaces, J. Math. Kyoto Univ., 34, 859-871, (1994) Rational and ruled surfaces, Jacobians, Prym varieties, Lattices and convex bodies (number-theoretic aspects), Rational points
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces J. F. Voloch, On the conjectures of Mordell and Lang in positive characteristics, Invent. Math. 104 (1991), no. 3, 643 -- 646. Rational points, Other nonalgebraically closed ground fields in algebraic geometry, Jacobians, Prym varieties, Arithmetic theory of algebraic function fields, Curves in algebraic geometry
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Abelian varieties of dimension \(> 1\), Jacobians, Prym varieties, Algebraic functions and function fields in algebraic geometry
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces D. J. Lorenzini, \textit{Arithmetical graphs}, Math. Ann., 285 (1989), pp. 481--501. Arithmetic ground fields for curves, Curves over finite and local fields, Local ground fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Canonical forms, reductions, classification
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Curves over finite and local fields, de Rham cohomology and algebraic geometry, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Yoichi Miyaoka, \textit{Algebraic surfaces with positive indices}, Classification of algebraic and analytic manifolds (Katata, 1982), Progr. Math., vol. 39, Birkhäuser Boston, Boston, MA, 1983, pp. 281-301. MR 728611 (85j:14067) Arithmetic varieties and schemes; Arakelov theory; heights, Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Rational points, Elliptic curves over global fields
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces T. Shioda, ''Mordell-Weil lattices for higher-genus fibrations,''Proc. Japan Acad.,68A, 247--250 (1992). Arithmetic ground fields for curves, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational and ruled surfaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces K. Coombes andR. Fisher, Inversion of abelian integrals on small genus curves. Math. Ann.275, 185-196 (1986). Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Rational points, Jacobians, Prym varieties, Arithmetic varieties and schemes; Arakelov theory; heights, Families, fibrations in algebraic geometry
0
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Martin-Deschamps, M, Propriétés de descente des variétés à fibré cotangent ample, Ann. Inst. Fourier (Grenoble), 34, 39-64, (1984) Rational points, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Algebraic functions and function fields in algebraic geometry
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Rational points, Arithmetic ground fields for curves, Cubic and quartic Diophantine equations, Jacobians, Prym varieties, Waring's problem and variants
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces DOI: 10.4064/aa146-1-1 Rational points, Quadratic extensions, General binary quadratic forms, Class numbers, class groups, discriminants, Higher degree equations; Fermat's equation, Special surfaces
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces E.V. Flynn , On a Theorem of Coleman . Manus. Math. 88 ( 1995 ), 447 - 456 . Article | MR 1362930 | Zbl 0865.14012 Jacobians, Prym varieties, Rational points, Arithmetic ground fields for abelian varieties
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Algebraic theory of abelian varieties
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces T. Shioda, Some remarks on elliptic curves over function fields , Astérisque 209 (1992), 12, 99-114. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Rational points, Elliptic curves over global fields, Algebraic functions and function fields in algebraic geometry
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Cycles and subschemes, Algebraic functions and function fields in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Arithmetic theory of algebraic function fields, \(p\)-adic cohomology, crystalline cohomology
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Higher degree equations; Fermat's equation, Rational points, Jacobians, Prym varieties
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Algebraic functions and function fields in algebraic geometry, Special surfaces, Positive characteristic ground fields in algebraic geometry
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Brauer groups of schemes, Rational points, Étale and other Grothendieck topologies and (co)homologies, Steenrod algebra, Abelian varieties of dimension \(> 1\), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Varieties over finite and local fields
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Algebraic functions and function fields in algebraic geometry, Rational points, Elliptic curves, Global ground fields in algebraic geometry, Special algebraic curves and curves of low genus
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Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Elliptic curves over global fields, (Equivariant) Chow groups and rings; motives, Algebraic cycles, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Rational points, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Transcendental methods, Hodge theory (algebro-geometric aspects), Jacobians, Prym varieties, Homotopy theory and fundamental groups in algebraic geometry
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