Gentle Course in Local Class Field Theory

Gentle Course in Local Class Field Theory

Local Number Fields, Brauer Groups, Galois Cohomology

Guillot, Pierre

Cambridge University Press

11/2018

306

Dura

Inglês

9781108421775

15 a 20 dias

690

Descrição não disponível.
Part I. Preliminaries: 1. Kummer theory; 2. Local number fields; 3. Tools from topology; 4. The multiplicative structure of local number fields; Part II. Brauer Groups: 5. Skewfields, algebras, and modules; 6. Central simple algebras; 7. Combinatorial constructions; 8. The Brauer group of a local number field; Part III. Galois Cohomology: 9. Ext and Tor; 10. Group cohomology; 11. Hilbert 90; 12. Finer structure; Part IV. Class Field Theory: 13. Local class field theory; 14. An introduction to number fields.
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