Algebraic Geometry II: Cohomology of Schemes

Name: Algebraic Geometry II: Cohomology of Schemes
Brand: Springer, Berlin
SKU: 9783658430306
Price: 34796 HUF
Availability: InStock

With Examples and Exercises

Szerző: Ulrich Görtz, Torsten Wedhorn

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer, Berlin

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

34 796 Ft

This book completes the comprehensive introduction to modern algebraic geometry which was started wi...

Információk a könyvről

Szerző

Ulrich Görtz, Torsten Wedhorn

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2023

oldal

869

EAN

9783658430306

Enbook ID

44151292

Kiadó

Springer, Berlin

Súly

1452

Méretek

168 x 240

Teljes leírás

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. The main part is dedicated to the cohomology of quasi-coherent sheaves. The treatment is based on the formalism of derived categories which allows an efficient and conceptual treatment of the theory, which is of crucial importance in all areas of algebraic geometry. After the foundations are set up, several more advanced topics are studied, such as numerical intersection theory, an abstract version of the Theorem of Grothendieck-Riemann-Roch, the Theorem on Formal Functions, Grothendieck's algebraization results and a very general version of Grothendieck duality. The book concludes with chapters on curves and on abelian schemes, which serve to develop the basics of the theory of these two important classes of schemes on an advanced level, and at the same time to illustrate the power of the techniques introduced previously.The text contains many exercises that allow the reader to check their comprehension of the text, present further examples or give an outlook on further results.

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Algebraic Geometry II: Cohomology of Schemes

With Examples and Exercises

Információk a könyvről

Teljes leírás

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták