Tate Duality in Positive Dimension over Function Fields
Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-6707-4 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-6707-4 (ISBN)
Concentrating mainly on the more difficult function field setting, we extend the classical duality results of Poitou and Tate for finite discrete Galois modules over local and global fields to all affine commutative group schemes of finite type, building on ?esnavi?ius' recent work extending these results to all finite commutative group schemes.
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.
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.
Zev Rosengarten, Stanford University, California.
| Erscheinungsdatum | 05.12.2023 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society ; Volume: 290 Number: 1444 |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 272 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-4704-6707-0 / 1470467070 |
| ISBN-13 | 978-1-4704-6707-4 / 9781470467074 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2022)
Springer Spektrum (Verlag)
CHF 55,95
