Algebraic Geometry II: Cohomology of Schemes: With Examples and Exercises (Springer Studium Mathematik - Master)
Görtz, Ulrich; Wedhorn, Torsten
ISBN 10: 3658430303 ISBN 13: 9783658430306
Editore: Springer Spektrum (edition 1st ed. 2023), 2023
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Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported. Codice articolo 3658430303-8-1
Riassunto:
This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes.
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.
Informazioni sull?autore:
Prof. Dr. Ulrich Görtz, Department of Mathematics, University of Duisburg-Essen
Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technical University of Darmstadt
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Titolo: Algebraic Geometry II: Cohomology of Schemes...
Casa editrice: Springer Spektrum (edition 1st ed. 2023)
Data di pubblicazione: 2023
Legatura: Paperback
Condizione: Very Good
Edizione: 1st ed. 2023.
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Algebraic Geometry II: Cohomology of Schemes: With Examples and Exercises (Springer Studium Mathematik - Master)
Editore:
Springer Spektrum, 2023
ISBN 10: 3658430303
ISBN 13: 9783658430306
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Algebraic Geometry II: Cohomology of Schemes: With Examples and Exercises (Springer Studium Mathematik - Master)
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Algebraic Geometry II: Cohomology of Schemes
ISBN 10: 3658430303
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Algebraic Geometry II: Cohomology of Schemes | With Examples and Exercises
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Taschenbuch. Condizione: Neu. Algebraic Geometry II: Cohomology of Schemes | With Examples and Exercises | Ulrich Görtz (u. a.) | Taschenbuch | vii | Englisch | 2023 | Springer | EAN 9783658430306 | Verantwortliche Person für die EU: Springer Spektrum in Springer Science + Business Media, Tiergartenstr. 15-17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 127659257
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Algebraic Geometry II : Cohomology of Schemes With Examples and Exercises
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Algebraic Geometry II: Cohomology of Schemes : With Examples and Exercises
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ISBN 13: 9783658430306
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volumeAlgebraic GeometryI: 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. Codice articolo 9783658430306
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Algebraic Geometry II: Cohomology of Schemes
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volumeAlgebraic GeometryI: 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. 880 pp. Englisch. Codice articolo 9783658430306
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Taschenbuch. Condizione: Neu. Neuware -This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes.Springer Spektrum in Springer Science + Business Media, Tiergartenstr. 15-17, 69121 Heidelberg 880 pp. Englisch. Codice articolo 9783658430306
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