overbearing 发表于 2025-3-25 03:36:20

Galois CohomologyLet K/. be a finite Galois extension with Galois group G. The group G acts both on the additive group of K and on the multiplicative group K*; hence we can investigate the corresponding cohomology groups.

遗传 发表于 2025-3-25 09:12:09

Brauer Group of a Local FieldThroughout this chapter, K denotes a field complete under a valuation υ, A denotes the valuation ring of υ, and . the residue field.

健谈的人 发表于 2025-3-25 11:46:21

Local Class Field TheoryStandard local class field theory is concerned with complete fields K whose residue field . is finite.

Ballad 发表于 2025-3-25 18:46:46

http://reply.papertrans.cn/59/5877/587628/587628_24.png

山间窄路 发表于 2025-3-25 21:55:17

https://doi.org/10.1007/978-1-4757-5673-9Fields; Lokaler Körper; algebra; algebraic geometry; algebraic number field; arithmetic; cohomology; field;

厨师 发表于 2025-3-26 03:23:42

Graduate Texts in Mathematicshttp://image.papertrans.cn/l/image/587628.jpg

MEET 发表于 2025-3-26 04:27:59

http://reply.papertrans.cn/59/5877/587628/587628_27.png

Albumin 发表于 2025-3-26 12:21:55

Class Formationsthe cohomological aspect of class field theory, both in the local and the global cases. The present chapter is restricted to the main properties of class formations; the reader will find in Artin-Tate further developments (the Šafarevič theorem, Weil groups).

limber 发表于 2025-3-26 15:33:13

http://reply.papertrans.cn/59/5877/587628/587628_29.png

GIBE 发表于 2025-3-26 18:32:47

http://reply.papertrans.cn/59/5877/587628/587628_30.png
页: 1 2 [3] 4 5 6
查看完整版本: Titlebook: Local Fields; Jean-Pierre Serre Textbook 1979 Springer Science+Business Media New York 1979 Fields.Lokaler Körper.algebra.algebraic geomet