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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 Arithmetic theory of algebraic function fields, Cubic and quartic extensions, Units and factorization, 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 Special algebraic curves and curves of low genus, 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 Special surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Compact complex surfaces, Differentiable structures in differential topology, Characteristic classes and numbers in differential topology
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 Divisors, linear systems, invertible sheaves, 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 M.L. Brown , Remark on two Diophantine conjectures , Bull. London Math. Soc. 17 (1985) 391-392. Rational points, Arithmetic ground fields for abelian varieties, 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 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 Parametrization (Chow and Hilbert schemes), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), 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 Algebraic functions and function fields in algebraic geometry, Low codimension problems in algebraic geometry, Surfaces and higher-dimensional 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 DOI: 10.1142/S1793042111004502 Approximation in non-Archimedean valuations, 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 Tilouine, J., Un sous-groupe \textit{p}-divisible de la jacobienne de \(X_1(N p^r)\) comme module sur l'algèbre de Hecke, Bull. Soc. Math. France, 115, 3, 329-360, (1987) Jacobians, Prym varieties, Holomorphic modular forms of integral weight, 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 Automorphisms of curves, 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 Heights, Varieties over global fields, Rational points, Diophantine equations in many variables, Curves of arbitrary genus or genus \(\ne 1\) 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 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Sheaves in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Projective techniques 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 Gong, C; Lu, X; Tan, S-L, Families of curves over \({\mathbb{P}}^1\) with 3 singular fibers, C. R. Math. Acad. Sci. Paris, 351, 375-380, (2013) Special surfaces, Fibrations, degenerations in algebraic geometry, Families, moduli of curves (algebraic)
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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 Migliore, J. C.; Nagel, U., On the Cohen-Macaulay type of the general hypersurface section of a curve, Math. Z., 219, 2, 245-273, (1995) Plane and space curves, Complete intersections, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Linkage
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 Counting solutions of Diophantine equations, Varieties over global fields, Multiple Dirichlet series and zeta functions and multizeta values, Rational points, \(3\)-folds
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 V. A. Kolyvagin, On the structure of Shafarevich-Tate groups, Algebraic geometry (Chicago, IL, 1989), Springer, Berlin (1991), 94-121. Elliptic curves, Modular and Shimura varieties, Elliptic and modular units, Galois cohomology, Elliptic curves over global fields, 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 Gross, B. H.; Harris, J., Real algebraic curves, Ann. Sci. École Norm. Sup. (4), 14, 2, 157-182, (1981) Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Real algebraic and real-analytic geometry, Jacobians, Prym varieties, 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 Homma, M., Kim, S.J.: \textit{Sziklai's conjecture on the number of points of a plane curve over a finite field II}. In: McGuire, G., Mullen, G.L., Panario, D., Shparlinski, I.E. (eds.) Finite Fields: Theory and Applications, pp. 225-234. Contemporary Mathematics, vol. 518. AMS, Providence (2010) (An update is available at arXiv:0907.1325v2) Plane and space curves, Finite ground fields in algebraic geometry, Rational points, Enumerative problems (combinatorial problems) 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 Nagell, T.: Les points exceptionnels rationnels sur certaines cubiques du premier genre. Acta Arith. 5, 333--357 (1954) Cubic and quartic Diophantine equations, 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 Arbarello, E.; Saccà, G.; Ferretti, A., The relative Prym variety associated to a double cover of an Enriques surface, J. Differential Geom., 100, 2, 191-250, (2015) \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Jacobians, Prym varieties, Coverings in algebraic geometry, Relationships between algebraic curves and integrable systems, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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, Elliptic 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 Multiplicative and norm form equations, Rational points, Varieties over global fields, Class numbers, class groups, discriminants
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 and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Special surfaces, Families, moduli, classification: algebraic 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 Miller, Robert L.; Stoll, Michael: Explicit isogeny descent on elliptic curves, (2010) Elliptic curves over global fields, Rational points, Global ground fields in algebraic geometry, Elliptic 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 Jennings, G.: Modern Geometry with Applications. Springer, New York (1994) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry, Elementary problems in Euclidean geometries, Elementary problems in hyperbolic and elliptic geometries, Classical or axiomatic geometry and physics, Algebraic functions and function fields in algebraic geometry, Special relativity, Projective analytic 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 Algebraic functions and function fields in algebraic geometry, Finite fields (field-theoretic 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 [25] Pinkham (H. C.).-- Automorphisms of cusps and Inoue-Hirzebruch surfaces, Compositio Math., 52(3), p.~299-313 (1984). Numdam | &MR~7 | &Zbl~0573. Singularities of surfaces or higher-dimensional varieties, Special surfaces, Group actions on varieties or schemes (quotients), Families, moduli, classification: algebraic 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 (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Multiplicity theory and related topics
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 Compact Riemann surfaces and uniformization, 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 Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Rational points, Local ground fields in algebraic geometry, Varieties 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 theory of algebraic function fields, Curves over finite and local 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 [Kon] Konno, K.: On deformations and the local Torelli problem of cyclic branched coverings. Math. Ann.271, 601-617 (1985) Coverings in algebraic geometry, Period matrices, variation of Hodge structure; degenerations, Transcendental methods, Hodge theory (algebro-geometric aspects), Ramification problems in algebraic geometry, Jacobians, Prym varieties, Formal methods and deformations 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 Sakai, F, Anticanonical models of rational surfaces, Math. Ann., 269, 389-410, (1984) Families, moduli, classification: algebraic theory, Special surfaces, Rational and unirational varieties, Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional 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 Helfgott, H., Power-free values, large deviations and integer points on irrational curves, J. théor. nombres Bordeaux, 19, 433-472, (2007) Primes represented by polynomials; other multiplicative structures of polynomial values, Counting solutions of Diophantine equations, Rational points, Large deviations
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, B. J., \textit{how the number of points of an elliptic curve over a fixed prime field varies}, J. Lond. Math. Soc. (2), 43, 57-60, (1968) Elliptic curves over global fields, Rational points, Spectral theory; trace formulas (e.g., that of Selberg)
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 Borel, A., Tits, J.: Groupes Réductifs. Inst. Hautes Étud. Sci. Publ. Math. \textbf{27}(1), 55-150 (1965) Cycles and subschemes, Finite ground fields in algebraic geometry, Special surfaces, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Arithmetic ground fields for abelian 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 M. Ru and P.M. Wong, Integral points of \(P^n - \{2n+1\) hyperplanes in general position\(\}\), Invent Math 106 (1991), 195--216. Rational points, Diophantine approximation, transcendental number 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 Picard groups, Special surfaces, 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 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 T. Hasegawa, An upper bound for the Garcia-Stichtenoth numbers of towers, Tokyo J. Math., 28 (2005), 471-481. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Arithmetic codes
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, Generalizations (algebraic spaces, stacks), Coverings of curves, fundamental group, 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 Quadratic and bilinear Diophantine equations, Cubic and quartic Diophantine equations, 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 Quadratic forms over general fields, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Class numbers, class groups, discriminants, Arithmetic theory of algebraic function fields, Class groups and Picard groups of orders, Cohomology of arithmetic groups
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 Groups acting on trees, Other matrix groups over rings, Algebraic functions and function fields in algebraic geometry, Cohomology of groups, Linear algebraic groups over global fields and their integers, Cohomology of arithmetic groups
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 Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), 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 Algebraic functions and function fields in algebraic geometry, Computational aspects of algebraic curves, Polynomials over finite fields, Arithmetic theory of polynomial rings over finite fields, Arithmetic theory of algebraic function 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 Global ground fields in algebraic geometry, Arithmetic ground fields for curves, General ternary and quaternary quadratic forms; forms of more than two variables, Computational aspects of algebraic 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 RÜCK, H.-G.: Hasse-Witt-Invariants and Dihedral Extensions, Math. Z., to appear Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, 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 Arai, Keisuke, Algebraic points on Shimura curves of \(\Gamma_0(p)\)-type (II), Manuscripta Math., 149, 1-2, 63-70, (2016) Arithmetic aspects of modular and Shimura varieties, Rational points, Modular and Shimura 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 Faber X.: A remark on the effective Mordell conjecture and rational pre-images under quadratic dynamical systems. C. R. Math. Acad. Sci. Paris 348(7--8), 355--358 (2010) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Heights, 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 Zhang, S: Geometry of algebraic points. In: Yang, L., Yau, S.T. (eds.) First International Congress of Chinese Mathematicians, Beijing, 1998. AMS/IP Stud. Adv. Math., vol. 20, pp. 185-198. American Mathematical Society/International Press, Providence, RI (2001) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Varieties over global fields, Heights, 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 Gonzalez-Sprinberg, G., Pan, I.: On Characteristic Classes of Determinantal Cremona Transformations,Math. Ann., 335 (2006), 479--487 Birational automorphisms, Cremona group and generalizations, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Rational and birational maps, Determinantal 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 Flenner, H.; Ulrich, B.; Vogel, W., On limits of joins of maximal dimension, Math. Ann., 308, 2, 291-318, (1997) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Singularities in algebraic geometry, Linkage, complete intersections and determinantal ideals, Linkage
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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 Severi, Über die Grundlagen der algebraischen Geometrie Abh. math, Sem. Hansische Univ. 9 pp 335-- (1933) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Foundations of algebraic geometry, 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 E. Arbarello, I. Krichever, and G. Marini, ''Characterizing Jacobians via flexes of the Kummer variety,'' Math. Res. Lett., vol. 13, iss. 1, pp. 109-123, 2006. Theta functions and curves; Schottky problem, Jacobians, Prym varieties, Algebraic moduli of abelian varieties, 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 Algebraic moduli of abelian varieties, classification, Quadratic forms (reduction theory, extreme forms, etc.), Fine and coarse moduli spaces, Families, moduli of curves (algebraic), 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 DOI: 10.1007/s00208-007-0157-4 Rational and ruled 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic curves over global fields, Heights
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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 Transcendental methods, Hodge theory (algebro-geometric aspects), Torelli problem, Variation of Hodge structures (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Mixed Hodge theory of singular varieties (complex-analytic aspects), Algebraic moduli problems, moduli of vector bundles, 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 [4] A. Chambert-Loir, Y. Tschinkel, \(Integral points of bounded height on partial equivariant compactifications of vector groups\), Duke Math. J., 161, (2012), 2799-2836. &MR 29 Heights, Varieties over finite and local fields, Rational points, Global 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 Model-theoretic algebra, Classification theory, stability, and related concepts in model theory, Abelian varieties of dimension \(> 1\), Rational points, Arithmetic ground fields for abelian varieties, Model theory (number-theoretic aspects)
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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 Billard, H, Répartition des points rationnels des surfaces géométriquement réglées rationnelles, Astérisque, 251, 79-89, (1998) Varieties over global fields, Rational points, Global ground fields in algebraic geometry, Rational and ruled 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 Melo, M.; Viviani, F., The Picard group of the compactified universal Jacobian, Doc. Math., 19, 457-507, (2014) Families, moduli of curves (algebraic), Jacobians, Prym varieties, Picard groups, Generalizations (algebraic spaces, stacks), Geometric invariant theory
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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 REIDER, I.: On the Infinitesimal Torelli Theorem for Certrain Irregular Surfaces of general type (to appear in Mat. Ann.) Transcendental methods, Hodge theory (algebro-geometric aspects), Formal methods and deformations in algebraic geometry, Surfaces of general type, 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 Projective techniques in algebraic geometry, Complete intersections, 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 J. C. Naranjo, The positive dimensional fibres of the Prym map, Pac. J. Math. 172 (1) (1996), 223--226. Jacobians, Prym varieties, Picard schemes, higher Jacobians, 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 García, LF, Projective normality of abelian surfaces of type \((1,2d)\), Manuscr. Math., 114, 385-390, (2004) Algebraic theory of abelian varieties, Divisors, linear systems, invertible sheaves, Special surfaces, Adjunction problems
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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 N. S. Semenov, Hasse diagrams and motives of homogeneous projective varieties, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 330 (2006), no. Vopr. Teor. Predst. Algebr. i Grupp. 13, 236 -- 246, 274 (Russian, with English and Russian summaries); English transl., J. Math. Sci. (N.Y.) 140 (2007), no. 5, 737 -- 741. Homogeneous spaces and generalizations, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Linear algebraic groups over arbitrary 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 F. Beukers and C. A. M. Peters. A family of K3 surfaces and {\(\zeta\)}(3). J. Reine Angew. Math. 351 (1984), 42-54. Structure of families (Picard-Lefschetz, monodromy, etc.), Special surfaces, Transcendence (general theory), \(\zeta (s)\) and \(L(s, \chi)\), Arithmetic ground fields for 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 Varieties over global fields, Heights, Schmidt Subspace Theorem and applications, Divisors, linear systems, invertible sheaves, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Value distribution theory in higher dimensions, Hyperbolic and Kobayashi hyperbolic manifolds
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: 10.1023/A:1000650009973 Arithmetic varieties and schemes; Arakelov theory; heights, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Grassmannians, Schubert varieties, flag 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 Boutabaa, A.; Escassut, A.: Parametrization of curves in characteristic p, Commentarii mathematici universitatis sancti Pauli 53, No. 2, 205-217 (2004) Algebraic functions and function fields in algebraic geometry, Non-Archimedean function theory
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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 Real algebraic sets, 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 Baier, S.; Derenthal, U.: Quadratic congruences on average and rational points on cubic surfaces, (2012) Counting solutions of Diophantine equations, Estimates on character sums, Varieties over global fields, 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 Applications of the Hardy-Littlewood method, Counting solutions of Diophantine equations, Diophantine equations in many variables, Diophantine inequalities, Cubic and quartic Diophantine equations, 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 Varieties over global fields, Field arithmetic, Rational points, Algebraic field extensions
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 Heights, Elliptic curves over global fields, Linear forms in logarithms; Baker's method, 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 M. Reineke, ``Counting rational points of quiver moduli'', \textit{Int. Math. Res.} \textit{Not.}, Art. ID 70456, 19 (2006). Rational points, Representations of quivers and partially ordered sets, Representations of orders, lattices, algebras over commutative rings, Module categories in associative algebras, Algebraic moduli problems, moduli of vector bundles
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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 Theta functions and abelian varieties, Jacobians, Prym varieties, Differentials on Riemann 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 Special algebraic curves and curves of low genus, Rational points, Elliptic 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 Popularization of mathematics, Diophantine equations, Elliptic curves over global fields, 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 Calegari [Calegari 01] Frank, Internat. Math. Res. Notices 10 (2001) pp 487-- (2001) Rational points, Algebraic theory of abelian varieties, Elliptic curves, 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 N. Anbar, P. Beelen, N. Nguyen, A new tower meeting Zink's bound with good \(p\)-rank, appeared online 18 January 2017 in Acta Arithmetica. Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields, Applications to coding theory and cryptography of arithmetic 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 Arithmetic aspects of modular and Shimura varieties, Iwasawa theory, 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 K. S. Kedlaya, ''Counting points on hyperelliptic curves using Monsky-Washnitzer cohomology,'' J. Ramanujan Math. Soc., vol. 16, iss. 4, pp. 323-338, 2001. Rational points, Curves over finite and local fields, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Finite ground fields in algebraic geometry, 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 Faltings, G.; The general case of S. Lang's conjecture; Barsotti Symposium in Algebraic Geometry: San Diego, CA, USA 1994; ,175-182. Rational points, Algebraic theory of abelian varieties, Arithmetic varieties and schemes; Arakelov theory; heights
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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.-S. Elsenhans and J. Jahnel: The Diophantine Equation \( x^4 + 2 y^4 = z^4 + 4 w^4\) -- A number of improvements, Preprint Cubic and quartic Diophantine equations, Computer solution of Diophantine equations, 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 Elliptic curves, Sums of squares and representations by other particular quadratic forms, Elliptic curves over global fields, 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 Bars, F.: Bielliptic modular curves. J. Number Theory 76 (1999), no. 1, 154-165. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Arithmetic ground fields for curves, 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 Fano varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Curves in algebraic geometry, \(3\)-folds, \(K3\) surfaces and Enriques 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, Ramification and extension theory, Coverings 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 Special surfaces, Coverings 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 Skorobogatov, A.N., Swinnerton-Dyer, P.: 2-Descent on elliptic curves and rational points on certain Kummer surfaces. Adv. Math. \textbf{198}(2), 448-483 (2005) Global ground fields in algebraic geometry, Varieties over global fields, Rational points, \(K3\) surfaces and Enriques 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 A. N. Tyurin, Special \(0\)-cycles on a polarized surface of type \(K3\) , Izv. Akad. Nauk SSSR Ser. Mat. 51 (1987), no. 1, 131-151, 208. \(K3\) surfaces and Enriques surfaces, Special surfaces, Algebraic cycles, Projective techniques 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 DOI: 10.1142/S0217751X14501280 Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems, Yang-Mills and other gauge theories in mechanics of particles and systems, Quantization in field theory; cohomological methods, 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 Welters G.: Curves of twice the minimal class on principally polarized abelian varieties. Indag. Math. 94, 87--109 (1987) Algebraic moduli of abelian varieties, classification, Families, moduli of curves (algebraic), Picard schemes, higher Jacobians, Divisors, linear systems, invertible sheaves, Algebraic theory of abelian varieties, 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 Lang, J., Locating divisors on Zariski surfaces, Ramanjan J. Math., 25, 4, 377-392, (2011) 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 Ankeny, N. C.; Erdös, P.: The insolubility of classes of Diophantine equations. Amer. J. Math. 76, 488-496 (1954) Higher degree equations; Fermat's equation, 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 Relationships between algebraic curves and integrable systems, Jacobians, Prym varieties, Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics
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