Description: Further DetailsTitle: Algebraic Geometry II: Cohomology of SchemesCondition: NewFormat: PaperbackSubtitle: With Examples and ExercisesEAN: 9783658430306ISBN: 9783658430306Edition: 1st ed. 2023Publisher: Springer SpektrumRelease Date: 11/23/2023Description: 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.Language: EnglishCountry/Region of Manufacture: DEItem Height: 240mmItem Length: 168mmAuthor: Ulrich Görtz, Torsten WedhornGenre: Science Nature & MathBook Series: Springer Studium Mathematik - MasterISBN-10: 3658430303Type: Geometry & TopologyRelease Year: 2023 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
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Book Title: Algebraic Geometry II: Cohomology of Schemes
Title: Algebraic Geometry II: Cohomology of Schemes
Subtitle: With Examples and Exercises
EAN: 9783658430306
ISBN: 9783658430306
Edition: 1st ed. 2023
Release Date: 11/23/2023
Release Year: 2023
Country/Region of Manufacture: DE
Item Height: 240mm
Genre: Science Nature & Math
ISBN-10: 3658430303
Number of Pages: VII, 869 Pages
Publication Name: Algebraic Geometry II: Cohomology of Schemes : with Examples and Exercises
Language: English
Publisher: Springer Fachmedien Wiesbaden Gmbh
Publication Year: 2023
Subject: General, Geometry / Algebraic
Type: Textbook
Item Weight: 51.7 Oz
Author: Ulrich Görtz, Torsten Wedhorn
Subject Area: Mathematics
Item Length: 9.4 in
Series: Springer Studium Mathematik-Master Ser.
Item Width: 6.6 in
Format: Trade Paperback
