scientific article
zbMath0635.14014MaRDI QIDQ3773986
Publication date: 1987
Full work available at URL: http://www.numdam.org/item?id=CM_1987__63_2_145_0
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Gauss sumscrystalline cohomologyHodge index theorem\(\ell \)-adic étale cohomologyTate- Birch-Swinnerton-Dyer conjecture
Arithmetic theory of algebraic function fields (11R58) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Étale and other Grothendieck topologies and (co)homologies (14F20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (p)-adic cohomology, crystalline cohomology (14F30) Algebraic functions and function fields in algebraic geometry (14H05) Cycles and subschemes (14C99)
Cites Work
- On a conjecture of Artin and Tate
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- Rational Points of Abelian Varieties Over Function Fields
- Heights and Arakelov's Intersection Theory
- Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmique
- Curves Over Discrete Valuation Rings
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