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Tate Duality in Positive Dimension over Function Fields.

Tate Duality in Positive Dimension over Function Fields.

・ISBN 978-1-4704-6707-4 paper US$ 85.00

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お気に入り
著者・編者Rosengarten, Zev,
シリーズMemoirs of the American Mathematical Society
出版社(American Mathematical Society, US)
出版年月2024
ページ数213 pp.
言語ENG
ニュース番号<M25-1359>

解説

We extend the classical duality results of Poitou and Tate for finite discrete Galois modules over local and global fields (local duality, nine-term exact sequence, etc.) to all affine commutative group schemes of finite type, building on the recent work of ?esnavi?ius [?es2] extending these results to all finite commutative group schemes. We concentrate mainly on the more difficult function field setting, giving some remarks about the number field case along the way.