On the Shafarevich and Tate conjectures for hyperkähler varieties

Identifieur interne : 000553 ( France/Analysis ); précédent : 000552; suivant : 000554

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On the Shafarevich and Tate conjectures for hyperkähler varieties

Auteurs : Yves André [France]

Source :

• Mathematische Annalen [ 0025-5831 ] ; 1996-05-01.

RBID : ISTEX:FB27CA2F5AE82FC4B7E87E134C098C413CE09936

English descriptors

• KwdEn :
  • Abelian, Abelian scheme, Abelian surface, Abelian surfaces, Abelian varieties, Abelian variety, Acts trivially, Adic, Adic realization, Algebra, Algebra isomorphism, Algebraic, Algebraic class, Algebraic classes, Algebraic closure, Algebraic correspondence, Algebraic cycles, Andr, Andr6, Arithmetic group, Automorphism, Axiom, Canonical, Canonical isomorphism, Canonical model, Canonical package, Clifford algebra, Clifford group, Closure, Coarse moduli space, Cohomology, Commutative, Commutative diagram, Complex abelian varieties, Complex abelian variety, Complex embedding, Congruence subgroups, Conjecture, Cubic fourfolds, Deligne, Direct summand, Embedding, Endc, Endl, Etale, Etale cohomology, Exact sequence, Factorizes, Fano variety, Fibre, Finite etale, Finite extension, Finite group, Finite index, Finite number, Finite type, Finitely, Fourfolds, Galois, Galois action, Galois isomorphism, General type, Good reduction, Ground field, Hilbert, Hilbert polynomial, Hodge, Hodge conjecture, Hodge correspondence, Hodge cycles, Hodge group, Hodge numbers, Hodge structure, Hodge structures, Homomorphism, Hyperkiihler, Hyperkiihler varieties, Isogeneous, Isogeny, Isometry, Isomorphic, Isomorphism, Isomorphism class, Isomorphism classes, Kodaira dimension, Lattice, Line bundles, Local system, Math, Module, Moduli space, Modulus, Monodromy, Monodromy homomorphism, Morphism, Motivic, Motivic galois group, Motivic group, Motivic groups, Number field, Number fields, Open neighborhood, Open subgroup, Orthogonal, Orthogonal complement, Other hand, Period mapping, Positive integer, Primitive lattice, Principal congruence subgroup, Projective, Projective deformation, Quadratic, Quadratic form, Quadratic lattice, Quadratic lattices, Quotient, Resp, Right action, Same datum, Satisfying properties, Second assertion, Sect, Shafarevich, Shafarevichand, Shafarevichand tare conjectures, Shafarevichand tate conjectures, Short proof, Special case, Spinorial, Springer, Springer lecture notes, Subfield, Subgroup, Submotive, Tare, Tate, Tate conjectures, Tensor, Unique isomorphism, Unit motive, Universal abelian scheme.
• Teeft :
  • Abelian, Abelian scheme, Abelian surface, Abelian surfaces, Abelian varieties, Abelian variety, Acts trivially, Adic, Adic realization, Algebra, Algebra isomorphism, Algebraic, Algebraic class, Algebraic classes, Algebraic closure, Algebraic correspondence, Algebraic cycles, Andr, Andr6, Arithmetic group, Automorphism, Axiom, Canonical, Canonical isomorphism, Canonical model, Canonical package, Clifford algebra, Clifford group, Closure, Coarse moduli space, Cohomology, Commutative, Commutative diagram, Complex abelian varieties, Complex abelian variety, Complex embedding, Congruence subgroups, Conjecture, Cubic fourfolds, Deligne, Direct summand, Embedding, Endc, Endl, Etale, Etale cohomology, Exact sequence, Factorizes, Fano variety, Fibre, Finite etale, Finite extension, Finite group, Finite index, Finite number, Finite type, Finitely, Fourfolds, Galois, Galois action, Galois isomorphism, General type, Good reduction, Ground field, Hilbert, Hilbert polynomial, Hodge, Hodge conjecture, Hodge correspondence, Hodge cycles, Hodge group, Hodge numbers, Hodge structure, Hodge structures, Homomorphism, Hyperkiihler, Hyperkiihler varieties, Isogeneous, Isogeny, Isometry, Isomorphic, Isomorphism, Isomorphism class, Isomorphism classes, Kodaira dimension, Lattice, Line bundles, Local system, Math, Module, Moduli space, Modulus, Monodromy, Monodromy homomorphism, Morphism, Motivic, Motivic galois group, Motivic group, Motivic groups, Number field, Number fields, Open neighborhood, Open subgroup, Orthogonal, Orthogonal complement, Other hand, Period mapping, Positive integer, Primitive lattice, Principal congruence subgroup, Projective, Projective deformation, Quadratic, Quadratic form, Quadratic lattice, Quadratic lattices, Quotient, Resp, Right action, Same datum, Satisfying properties, Second assertion, Sect, Shafarevich, Shafarevichand, Shafarevichand tare conjectures, Shafarevichand tate conjectures, Short proof, Special case, Spinorial, Springer, Springer lecture notes, Subfield, Subgroup, Submotive, Tare, Tate, Tate conjectures, Tensor, Unique isomorphism, Unit motive, Universal abelian scheme.

Url:

• https://api.istex.fr/document/FB27CA2F5AE82FC4B7E87E134C098C413CE09936/fulltext/pdf

DOI: 10.1007/BF01444219

Affiliations:

• France
• Île-de-France
• Paris 5

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