Tate Duality in Positive Dimension Over Function Fields
Author: Zev Rosengarten
Publisher:
Published: 2023
Total Pages: 0
ISBN-13: 9781470476304
DOWNLOAD EBOOK →Author: Zev Rosengarten
Publisher:
Published: 2023
Total Pages: 0
ISBN-13: 9781470476304
DOWNLOAD EBOOK →Author: Zev Rosengarten
Publisher: American Mathematical Society
Published: 2023-11-27
Total Pages: 230
ISBN-13: 1470467070
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Author: Zev Setchen Rosengarten
Publisher:
Published: 2018
Total Pages:
ISBN-13:
DOWNLOAD EBOOK →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
Published: 2024-03-18
Total Pages: 146
ISBN-13: 1470468786
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Author: Nicolas Burq
Publisher: American Mathematical Society
Published: 2024-05-15
Total Pages: 102
ISBN-13: 1470469790
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Author: You Qi
Publisher: American Mathematical Society
Published: 2024-02-01
Total Pages: 118
ISBN-13: 1470468727
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Author: James Gabe
Publisher: American Mathematical Society
Published: 2024-02-01
Total Pages: 128
ISBN-13: 1470467933
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Author: Jonathan Brundan
Publisher: American Mathematical Society
Published: 2024-02-01
Total Pages: 166
ISBN-13: 1470467836
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Author: Erik Bates
Publisher: American Mathematical Society
Published: 2024-02-01
Total Pages: 110
ISBN-13: 1470467917
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Author: Mikhail Khovanov
Publisher: American Mathematical Society
Published: 2024-02-01
Total Pages: 106
ISBN-13: 1470468719
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