Titlebook: Local Fields; Jean-Pierre Serre Textbook 1979 Springer Science+Business Media New York 1979 Fields.Lokaler K?rper.algebra.algebraic geomet

overbearing

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.

遺傳

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.

健談的人

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

Ballad

山間窄路

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

廚師

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

MEET

Albumin

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 [8] further developments (the ?afarevi? theorem, Weil groups).

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