DUALITY FOR COHOMOLOGY OF CURVES WITH COEFFICIENTS IN ABELIAN VARIETIES
抄録
<jats:p>In this paper, we formulate and prove a duality for cohomology of curves over perfect fields of positive characteristic with coefficients in Néron models of abelian varieties. This is a global function field version of the author’s previous work on local duality and Grothendieck’s duality conjecture. It generalizes the perfectness of the Cassels–Tate pairing in the finite base field case. The proof uses the local duality mentioned above, Artin–Milne’s global finite flat duality, the nondegeneracy of the height pairing and finiteness of crystalline cohomology. All these ingredients are organized under the formalism of the rational étale site developed earlier.</jats:p>
収録刊行物
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- Nagoya Mathematical Journal
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Nagoya Mathematical Journal 240 42-149, 2018-12-19
Cambridge University Press (CUP)
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詳細情報 詳細情報について
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- CRID
- 1360004233004004736
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- ISSN
- 21526842
- 00277630
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