Titlebook: Galois Cohomology and Class Field Theory; David Harari Textbook 2020 Springer Nature Switzerland AG 2020 Galois cohomology.Class Field The

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釋放

Cohomology of Profinite GroupsThis chapter extends all results of Chap.?1 to profinite groups.

llibretto

pester

First Notions of Galois CohomologyThis chapter introduces Galois cohomology, the Brauer group, and their main properties.

effrontery

condone

忘恩負義的人

Local Class Field Theory: The Reciprocity MapThis chapter continues local class field theory with the reciprocity map and existence theorem via Kummer extensions.

克制

The Tate Local Duality TheoremThis chapter covers Tate local duality, unramified cohomology, and a second proof of the local existence theorem.

Anemia

Tractable

Basic Facts About Global FieldsThis chapter recalls basic facts on global fields.