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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 Modular and Shimura varieties, Graphs and abstract algebra (groups, rings, fields, etc.), Infinite graphs, Algebraic functions and function fields in algebraic geometry, Arithmetic dynamics on general algebraic 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 Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Singularities 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), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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 A. Lesfari, ''Le système différentiel de Hénon-Heiles et les variétés de Prym,'' Pac. J. Math. 212(1), 125--132 (2003). Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Jacobians, Prym varieties, Relationships between algebraic curves and integrable systems
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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 Chabauty, Claude, Sur LES points rationnels des courbes algébriques de genre supérieur à l'unité, C. R. Acad. Sci. Paris, 212, 882-885, (1941), (French), MR0004484 Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, 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 Stienstra J, Beukers F. On the Picard-Fuchs equation and the formal Brauer group of certain elliptic K3-surfaces. Math Ann, 1985, 271: 269--304 Structure of families (Picard-Lefschetz, monodromy, etc.), Formal groups, \(p\)-divisible groups, Special surfaces, \(p\)-adic cohomology, crystalline cohomology, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Congruences; primitive roots; residue systems
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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 Wingberg, K, On the rational points of abelian varieties over \({\mathbb{Z}}_{p}\)-extensions of number fields, Math. Ann., 279, 9-24, (1987) Arithmetic ground fields for abelian varieties, Rational points, Cyclotomic extensions, Complex multiplication and abelian varieties, Formal groups, \(p\)-divisible 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 [24]M. Yasuda, Torsion points of elliptic curves with bad reduction at some primes II, Bull. Korean Math. Soc. 50 (2013), 83--96. 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 Grant, D.: Integer points on curves of genus two and their Jacobians. Trans. amer. Math. soc. 344, No. 1, 79-100 (1994) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Special algebraic curves and curves of low genus, Abelian varieties of dimension \(> 1\)
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 Structure of families (Picard-Lefschetz, monodromy, etc.), Fibrations, degenerations in algebraic geometry, Special surfaces, Distribution modulo one, Coverings of curves, fundamental group, General theory of distribution modulo \(1\)
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, \(3\)-folds, 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 Ue, M, On the diffeomorphism types of elliptic surfaces with multiple fibers, Invent. Math., 84, 633-643, (1986) Special surfaces, Families, moduli, classification: algebraic theory, Differential topological aspects of diffeomorphisms
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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 W.E. Lang , Remarks on p-torsion of algebraic surfaces , Compositio Math., 52 (2), (1984) 197-202. Special surfaces, Picard groups, \(p\)-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 Yokura, S.: Bivariant Chern classes for morphisms with nonsingular target varieties. Central European J. Math. 3, 614-626 (2005) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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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 Brown, M.L., Euclidean rings of affine curves, Math. Z., 208, 3, 467-488, (1991) Commutative Artinian rings and modules, finite-dimensional algebras, Euclidean rings and generalizations, 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 H.S.M. Coxeter: The evolution of Coxeter-Dynkin diagrams. In: T. Bisztriczky, P. McMullen, R. Schnei- der, A. IvicẂeiss (eds.) Polytopes: abstract, convex and computational. NATO ASI Series C - Vol. 440 . Kluwer 1994, pp. 21-42 Three-dimensional polytopes, Polyhedral manifolds, Reflection and Coxeter groups (group-theoretic aspects), Special surfaces, Reflection groups, reflection geometries
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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: 10.1080/00927879508825475 Divisors, linear systems, invertible sheaves, Rational and birational maps, 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 Bertin, M-A, On the singularities of the trisecant surface to a space curve, Matematiche (Catania), 53, 15-22, (1998) Plane and space curves, Singularities of surfaces or higher-dimensional varieties, 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 Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Curves over finite and local fields, Finite ground 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 Jacobians, Prym varieties, Period matrices, variation of Hodge structure; degenerations
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
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 Yin, Q., The generic nontriviality of the Faber-pandharipande cycle, Int. Math. Res. Not., (2013), rnt252 Algebraic cycles, Fibrations, degenerations 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 C. T. McMullen, Dynamics of SL\begin{document}\(_2(\mathbb{R})\)\end{document} over moduli space in genus two, Ann. of Math., 165, 397, (2007) Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Jacobians, Prym varieties, Homogeneous flows, Teichmüller theory for 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, Elliptic curves, 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 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 Amílcar Pacheco, Rational points on Igusa curves and \?-functions of symmetric representations, J. Number Theory 58 (1996), no. 2, 343 -- 360. \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Rational points, Cohomology of arithmetic groups, 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 Kisilevsky, H., Rank determines semi-stable conductor, J. Number Theory, 104, 2, 279-286, (2004) Elliptic curves over global fields, Rational points, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture
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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 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Foundations of algebraic geometry, Schemes and morphisms, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Riemann-Roch theorems, Plane and space curves, Definitions and generalizations in theory of categories
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 Van Der Geer, G.; Van Der Vlugt, M.: Trace codes and families of algebraic curves. Math. Z. 209, 307-315 (1992) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Finite ground 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 DOI: 10.1006/jabr.1996.7014 Valuations and their generalizations for commutative rings, Arithmetic theory of algebraic function fields, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Algebraic functions and function fields in algebraic geometry, Regular local rings
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 Dinesh S. Thakur , Power sums of polynomials over finite fields and applications: a survey , Finite Fields Appl. 32 (2015), p. 171-191 - ISSN : 2118-8572 (online) 1246-7405 (print) - Société Arithmétique de Bordeaux Arithmetic theory of polynomial rings over finite fields, Research exposition (monographs, survey articles) pertaining to number theory, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of algebraic function fields, Cyclotomic function fields (class groups, Bernoulli objects, etc.), Multiple Dirichlet series and zeta functions and multizeta values, Zeta and \(L\)-functions in characteristic \(p\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), 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 K. Miura - H. Yoshihara, Field theory for function fields of plane quartic curves, J. Algebra, 226 (2000), pp. 283-294. Zbl0983.11067 MR1749889 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 Bleier, T.: Excess porteous, coherent porteous, and the hyperelliptic locus in m\bar{}3. Mich. math. J. 61, No. 2, 359-383 (2012) Families, moduli of curves (algebraic), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles
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, Finite ground fields in algebraic geometry, Combinatorial aspects of finite geometries
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 Maakestad, H. ø.: Algebraic connections on projective modules with prescribed curvature. J. algebra 436 (2015) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, de Rham cohomology and algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles, Applications of methods of algebraic \(K\)-theory 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 Jacobians, Prym varieties, Coverings of curves, fundamental group, Theta functions and curves; Schottky problem, Picard schemes, higher Jacobians
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. Molinelli, D.P. Patil and G. Tamone, On the Cohen-Macaulayness of the associated graded ring of certain monomial curves , Beiträge zur Algebra und Geometrie \emdash/ Contributions to Algebra and Geometry 39 (1998), 433-446. Cohen-Macaulay modules, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, 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 Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Torsion modules and ideals in commutative rings, Syzygies, resolutions, complexes and commutative rings, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Singularities in algebraic geometry, Commutative rings and modules of finite generation or presentation; number of generators
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 G. Farkas, A. Verra, Prym varieties and moduli of polarized Nikulin surfaces. Adv. Math. 290, 314--38 (2016) Families, moduli of curves (algebraic), 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 Jinhui Chao, Kazuto Matsuo, Hiroto Kawashiro, Shigeo Tsujii, Construction of hyperelliptic curves with cm and its application to cryptosystems in: T. Okamoto (Ed.), AsiaCrypto, Lecture Notes in Computer Science, Vol. 1976, Springer, Berlin, 2000. Cryptography, Applications to coding theory and cryptography of arithmetic 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 Sommese, A.J.: On the density of ratios of Chern numbers of algebraic surfaces. Math. Ann.268, 207--221 (1984) Special surfaces, Characteristic classes and numbers in differential topology, Families, moduli, classification: algebraic 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 R. Pandharipande, Intersections of \(\({ Q}\)\)-divisors on Kontsevich's moduli space \(\({\overline{M}}_{0, n}({ P}^{r}, d)\)\) and enumerative geometry. Trans. Am. Math. Soc. 351(4), 1481-1505 (1999) Enumerative problems (combinatorial problems) in algebraic geometry, Families, moduli of curves (algebraic), Birational geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Picard 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 Artin, M., Coverings of the rational double points in characteristic \textit{p}, (Complex Analysis and Algebraic Geometry, (1977), Iwanami Shoten Tokyo), 11-22, MR 0450263 Coverings in algebraic geometry, Rational points, Local ground fields in algebraic geometry, Singularities 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 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 Jakob Stix, On cuspidal sections of algebraic fundamental groups, arXiv:0809.0017 (2008). Coverings of curves, fundamental group, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Rational points, Field arithmetic, Homotopy theory and fundamental groups 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 M. Sáez, Characterization of curves in \textit{C}(2). \textit{Collect}. \textit{Math}. \textbf{67} (2016), 399-405. MR3536052 Zbl 1353.14041 Special algebraic curves and curves of low genus, 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 Global theory and resolution of singularities (algebro-geometric aspects), Special surfaces, Software, source code, etc. for problems pertaining to 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 Elliptic curves, Elliptic curves over global 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 M. Ram Murty and V. Kumar Murty, Base change and the Birch-Swinnerton-Dyer conjecture, A tribute to Emil Grosswald: number theory and related analysis, Contemp. Math., vol. 143, Amer. Math. Soc., Providence, RI, 1993, pp. 481 -- 494. Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Modular and automorphic functions, Zeta functions and \(L\)-functions, 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 Ryuichi Harasawa and Joe Suzuki, Fast Jacobian group arithmetic on \?_{\?\?} curves, Algorithmic number theory (Leiden, 2000) Lecture Notes in Comput. Sci., vol. 1838, Springer, Berlin, 2000, pp. 359 -- 376. Curves over finite and local fields, Jacobians, Prym varieties, Finite ground fields in algebraic geometry, Number-theoretic algorithms; complexity, Algebraic coding theory; cryptography (number-theoretic aspects), Computational aspects of algebraic 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 L Ernström, S Yokura, Addendum to: ``Bivariant Chern-Schwartz-MacPherson classes with values in Chow groups'' \textrm\citeErnstrom-Yokura1, Selecta Math. 10 (2004) 29 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Singularities of holomorphic vector fields and foliations
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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 Yu, J.: Transcendence theory over function fields. Duke math. J. 52, 517-527 (1985) Transcendence theory of Drinfel'd and \(t\)-modules, Drinfel'd modules; higher-dimensional motives, etc., 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 Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Divisibility and factorizations in commutative rings, 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 Marmon, O, The density of integral points on complete intersections, Q. J. Math., 59, 29-53, (2008) Varieties over global fields, Rational points, Counting solutions of Diophantine equations, Estimates on exponential sums
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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. Conte and J. P. Murre, ''Algebraic varieties of dimension three whose hyperplane sections are Enriques surfaces,''Ann. Scuola. Norm. Sup. Pisa,12, 43--80 (1985). \(3\)-folds, Special surfaces, 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 Galois theory, Dynamical systems over global ground 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 Algebraic functions and function fields in algebraic geometry, Lattice polytopes in convex geometry (including relations with commutative algebra and 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, Multiplicative and norm form equations, Fibrations, degenerations in algebraic geometry, Rate of growth of arithmetic functions, Arithmetic ground fields (finite, local, global) and families or fibrations, Brauer groups of schemes
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. Ueno, Discriminants of curves of genus \(2\) and arithmetic surfaces , preprint, 1987. Special algebraic curves and curves of low genus, Special surfaces, 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 F.\ A. Bogomolov, On two conjectures in birational algebraic geometry, Algebraic geometry and analytic geometry (Tokyo 1990), ICM-90 Satell. Conf. Proc., Springer, Tokyo (1991), 26-52. Algebraic functions and function fields in algebraic geometry, (Co)homology theory in algebraic geometry, Galois cohomology, Rational and birational maps, Varieties 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 Hypersurfaces and algebraic geometry, Plane and space curves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Low codimension problems 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, Simultaneous homogeneous approximation, linear forms, Jacobians, Prym varieties, Abelian varieties of dimension \(> 1\)
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 A. P. Veselov and S. P. Novikov, ''On Poisson brackets compatible with algebraic geometry and the dynamics of KdV on the set of finite-zone potentials,'' Dokl. Akad. Nauk SSSR,266, No. 3, 233--237 (1982). Partial differential equations of mathematical physics and other areas of application, 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 10.2969/jmsj/76797679 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, 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 Doud D.: A procedure to calculate torsion of elliptic curves over \({\mathbb Q}\) . Manuscripta Math. 95, 463--469 (1998) Elliptic curves over global fields, Number-theoretic algorithms; complexity, 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, 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 Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, Quadratic spaces; Clifford algebras, Forms and linear algebraic groups, Clifford algebras, spinors, Transcendental field extensions, 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 Carel Faber, Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians, New trends in algebraic geometry (Warwick, 1996) London Math. Soc. Lecture Note Ser., vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 93 -- 109. Computational aspects of algebraic curves, Families, moduli of curves (algebraic), Software, source code, etc. for problems pertaining to algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry, Jacobians, Prym varieties, Algebraic moduli problems, moduli of vector bundles, Algebraic moduli of abelian varieties, classification
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 Fujita T., Algebraic Geometry 10 pp 167-- (1987) Families, moduli, classification: algebraic theory, Transcendental methods of algebraic geometry (complex-analytic aspects), 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 DOI: 10.1007/BF00147460 Special surfaces, Divisors, linear systems, invertible sheaves
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 I. Nakamura, Towards classification of non-Kählerian complex surfaces , Sugaku 36 (1984), 110-124; English translation in Sugaku Expositions 2 (1989), 209-229. Moduli, classification: analytic theory; relations with modular forms, Special surfaces, Compact complex surfaces, Singularities 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 Algebraic functions and function fields in algebraic geometry, Finite 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 T. Fenske, Rational cuspidal plane curves of type {(d,d-4)} with {\({\chi}\)(\({\Theta}\)_{V}\(\langle\) D\(\rangle\))\(\leq\) 0}, Manuscripta Math. 98 (1999), no. 4, 511-527. Singularities of curves, local rings, Plane and space curves, Families, moduli of curves (algebraic), Projective techniques 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 Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Arithmetic ground fields for curves, Rational points, Finite 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 Special surfaces, Pencils, nets, webs in algebraic geometry, Fibrations, degenerations in algebraic geometry, Grassmannians, Schubert varieties, flag 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 Ortega A.: Prym--Tyurin varieties coming from correspondences with fixed points. J. Alg. 311, 268--281 (2007) 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 Andrew Kresch, ``Canonical rational equivalence of intersections of divisors'', Invent. Math.136 (1999) no. 3, p. 483-496 (Equivariant) Chow groups and rings; motives, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Presheaves and sheaves, stacks, descent conditions (category-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 Modular and Shimura varieties, Jacobians, Prym varieties, Theta series; Weil representation; theta correspondences, Fourier coefficients of automorphic 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 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 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Motivic cohomology; motivic homotopy theory, Abstract and axiomatic homotopy theory in algebraic topology, Classical problems, Schubert calculus, Homotopy theory and fundamental groups in algebraic geometry, Degree, winding number, 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 Silhol, R., Classification birationnelle des surfaces rationnelles réelles, 308-324, (1990), Berlin Special surfaces, Topology of real algebraic varieties, Rational and birational maps, Families, moduli, classification: algebraic theory, 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 Hiro-o Tokunaga, A remark on E. Artal-Bartolo's paper: ''On Zariski pairs'' [J. Algebraic Geom. 3 (1994), no. 2, 223 -- 247; MR1257321 (94m:14033)], Kodai Math. J. 19 (1996), no. 2, 207 -- 217. Coverings in algebraic geometry, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, 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 Dèbes, P., Douai, J.-C., Moret-Bailly, L.: Descent varieties for algebraic covers. J. fur die reine und angew. Math. 574, 51--78 (2004) Coverings in algebraic geometry, Arithmetic theory of algebraic function fields, Generalizations (algebraic spaces, stacks), Algebraic functions and function fields in algebraic geometry, Coverings of curves, fundamental group, Other nonalgebraically closed 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 Curves over finite and local fields, Other abelian and metabelian extensions, Arithmetic theory of algebraic function 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 Selmer, Ernst S., The Diophantine equation \(ax^3+by^3+cz^3=0\), Acta Math., 85, 203-362 (1 plate), (1951) 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 Ciliberto, C.; Sernesi, E., \textit{singularities of the theta divisor and congruences of planes}, J. Algebr. Geom., 1, 231-250, (1992) Jacobians, Prym varieties, Theta functions and 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 Hindry, Marc Introduction to abelian varieties and the Mordell-Lang conjecture in \textit{Model Theory and Algebraic Geometry}(1998) 85--100 Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\), 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 Losev, A., Nekrasov, N., Shatashvili, S.: \textit{Testing Seiberg-Witten solution}. In: Strings, branes and dualities (Cargèse, 1997), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. \textbf{520}. Dordrecht: Kluwer Acad. Publ., 1999, pp. 359-372 Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Deformations of singularities, Formal methods and deformations in algebraic geometry, Special surfaces, 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 Yu. G. Zarhin, ''Endomorphisms of Superelliptic Jacobians,'' Math. Z. 261, 691--707, 709 (2009). Jacobians, Prym varieties, Algebraic theory of abelian varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\)
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 Silverman, J.H.; The difference between the Weil height and the canonical height on elliptic curves; Math. Comp.: 1990; Volume 55 ,723-743. Elliptic curves, Rational points, 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 Research exposition (monographs, survey articles) pertaining to algebraic geometry, Special algebraic curves and curves of low genus, Families, moduli of curves (algebraic), Coverings of curves, fundamental group, Automorphisms of 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 Surfaces of general type, Special surfaces, Finite nilpotent groups, \(p\)-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 S. Kitagawa, Maximal Mordell-Weil lattices of fibred surfaces with \(p_{g}=q=0\), Rend. Semin. Mat. Univ. Padova 117 (2007), 205--230. Rational and ruled surfaces, Fibrations, degenerations 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 K. V. Nguyen, On certain Mordell-Weil lattices of hyperelliptic type on rational surfaces, J. Math. Sci. (New York) 102 (2000), no. 2, 3938--3977. Jacobians, Prym varieties, Rational and ruled surfaces, Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and unirational 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 S. KITAGAWA - K. KONNO, Fibred rational surfaces with extremal MordellWeil lattices, Math. Z., 251 (2005), pp. 179-204. Zbl1082.14038 MR2176471 Rational and ruled surfaces, Fibrations, degenerations 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 Ulmer, Douglas, Curves and Jacobians over function fields.Arithmetic geometry over global function fields, Adv. Courses Math. CRM Barcelona, 283-337, (2014), Birkhäuser/Springer, Basel Varieties over global fields, Heights, \(L\)-functions of varieties over global fields; 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 J.J. Heckman, D.R. Morrison and C. Vafa, \textit{On the Classification of 6D SCFTs and Generalized ADE Orbifolds}, \textit{JHEP}\textbf{05} (2014) 028 [\textit{Erratum ibid.}\textbf{1506} (2015) 017] [arXiv:1312.5746] [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics, Fibrations, degenerations in algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric 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 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 Dimca, A.: Differential forms and hypersurface singularities. In: Singularity theory and its applications, Part I (Coventry, 1988/1989), vol. 1462 of Lecture Notes in Math., pp. 122-153. Springer, Berlin (1991) Complex multiplication and abelian varieties, Coverings of curves, fundamental group, Abelian varieties of dimension \(> 1\)
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Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties Group actions on varieties or schemes (quotients), Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Parametrization (Chow and Hilbert schemes)
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