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  1. Bog
  2. Geometri
  3. Algebraisk geometri

Etale Cohomology

Af: James S. Milne Engelsk Paperback

Etale Cohomology

Af: James S. Milne Engelsk Paperback
Tjek vores konkurrenters priser
An authoritative introduction to the essential features of étale cohomologyA. Grothendieck’s work on algebraic geometry is one of the most important mathematical achievements of the twentieth century. In the early 1960s, he and M. Artin introduced étale cohomology to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry but also in several different branches of number theory and in the representation theory of finite and p-adic groups. In this classic book, James Milne provides an invaluable introduction to étale cohomology, covering the essential features of the theory. Milne begins with a review of the basic properties of flat and étale morphisms and the algebraic fundamental group. He then turns to the basic theory of étale sheaves and elementary étale cohomology, followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Milne proves the fundamental theorems in étale cohomology—those of base change, purity, Poincaré duality, and the Lefschetz trace formula—and applies these theorems to show the rationality of some very general L-series.
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Tjek vores konkurrenters priser
An authoritative introduction to the essential features of étale cohomologyA. Grothendieck’s work on algebraic geometry is one of the most important mathematical achievements of the twentieth century. In the early 1960s, he and M. Artin introduced étale cohomology to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry but also in several different branches of number theory and in the representation theory of finite and p-adic groups. In this classic book, James Milne provides an invaluable introduction to étale cohomology, covering the essential features of the theory. Milne begins with a review of the basic properties of flat and étale morphisms and the algebraic fundamental group. He then turns to the basic theory of étale sheaves and elementary étale cohomology, followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Milne proves the fundamental theorems in étale cohomology—those of base change, purity, Poincaré duality, and the Lefschetz trace formula—and applies these theorems to show the rationality of some very general L-series.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 338
ISBN-13: 9780691273785
Indbinding: Paperback
Udgave:
ISBN-10: 0691273782
Kategori: Algebraisk geometri
Udg. Dato: 8 apr 2025
Længde: 0mm
Bredde: 156mm
Højde: 235mm
Forlag: Princeton University Press
Oplagsdato: 8 apr 2025
Forfatter(e): James S. Milne
Forfatter(e) James S. Milne

Kategori Algebraisk geometri

ISBN-13 9780691273785

Sprog Engelsk

Indbinding Paperback

Sider 338

Udgave

Længde 0mm

Bredde 156mm

Højde 235mm

Udg. Dato 8 apr 2025

Oplagsdato 8 apr 2025

Forlag Princeton University Press

Kategori sammenhænge