Algebraic Geometry II: Cohomology of Schemes

With Examples and Exercises

AvUlrich Görtz,Torsten Wedhorn

Häftad, Engelska, 2023

Del i serien Springer Studium Mathematik - Master

956 kr

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Beskrivning

This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes. It begins by discussing in detail the notions of smooth, unramified and étale morphisms including the étale fundamental group.

Produktinformation

Utgivningsdatum:2023-11-23
Mått:170 x 244 x 44 mm
Vikt:1 376 g
Format:Häftad
Språk:Engelska
Serie:Springer Studium Mathematik - Master
Antal sidor:869
Förlag:Springer Fachmedien Wiesbaden
ISBN:9783658430306

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

Prof. Dr. Ulrich Görtz, Department of Mathematics, University of Duisburg-EssenProf. Dr. Torsten Wedhorn, Department of Mathematics, Technical University of Darmstadt

Innehållsförteckning

Introduction.- 17 Differentials.- 18 Étale and smooth morphisms.- 19 Local complete intersections.- 20 The étale topology.- 21 Cohomology of sheaves of modules.- 22 Cohomology of quasi-coherent modules.- 23 Cohomology of projective and proper schemes.- 24 Theorem on formal functions.- 25 Duality.- 26 Curves.- 27 Abelian schemes.- F Homological algebra.- G Commutative algebra II.