Tate Duality in Positive Dimension Over Function Fields
Author | : Zev Rosengarten |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : Electronic books |
ISBN | : 9781470476304 |
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Author | : Zev Rosengarten |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : Electronic books |
ISBN | : 9781470476304 |
Author | : Zev Rosengarten |
Publisher | : American Mathematical Society |
Total Pages | : 230 |
Release | : 2023-11-27 |
Genre | : Mathematics |
ISBN | : 1470467070 |
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Author | : Zev Setchen Rosengarten |
Publisher | : |
Total Pages | : |
Release | : 2018 |
Genre | : |
ISBN | : |
In Part I, we generalize classical Tate duality (local duality, nine-term exact sequence, etc.) for finite discrete Galois modules (i.e., finite etale commutative group schemes) over global fields to all affine commutative group schemes of finite type (the "positive-dimensional" case), building upon recent work of Cesnavicius generalizing Tate duality to all finite commutative group schemes (the "zero-dimensional" case). We concentrate mainly on the more difficult function field setting, giving some remarks about the easier number field case along the way. In Part II, we give applications of this extension of Tate duality to the study of Picard groups, Tate-Shafarevich sets, and Tamagawa numbers of linear algebraic groups over global function fields.
Author | : Alice Hedenlund |
Publisher | : American Mathematical Society |
Total Pages | : 146 |
Release | : 2024-03-18 |
Genre | : Mathematics |
ISBN | : 1470468786 |
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Author | : Nicolas Burq |
Publisher | : American Mathematical Society |
Total Pages | : 102 |
Release | : 2024-05-15 |
Genre | : Mathematics |
ISBN | : 1470469790 |
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Author | : You Qi |
Publisher | : American Mathematical Society |
Total Pages | : 118 |
Release | : 2024-02-01 |
Genre | : Mathematics |
ISBN | : 1470468727 |
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Author | : James Gabe |
Publisher | : American Mathematical Society |
Total Pages | : 128 |
Release | : 2024-02-01 |
Genre | : Mathematics |
ISBN | : 1470467933 |
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Author | : Jonathan Brundan |
Publisher | : American Mathematical Society |
Total Pages | : 166 |
Release | : 2024-02-01 |
Genre | : Mathematics |
ISBN | : 1470467836 |
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Author | : Erik Bates |
Publisher | : American Mathematical Society |
Total Pages | : 110 |
Release | : 2024-02-01 |
Genre | : Mathematics |
ISBN | : 1470467917 |
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Author | : Mikhail Khovanov |
Publisher | : American Mathematical Society |
Total Pages | : 106 |
Release | : 2024-02-01 |
Genre | : Mathematics |
ISBN | : 1470468719 |
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