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Lectures on Algebraic Geometry I
Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces
Buch von Günter Harder
Sprache: Englisch

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Beschreibung
This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own.
In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them.
For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with N-level structures. This new paragraph anticipates some of the techniques of volume II.
This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own.
In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them.
For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with N-level structures. This new paragraph anticipates some of the techniques of volume II.
Über den Autor
Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn
Zusammenfassung
This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own.
In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them.
For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with N-level structures. This new paragraph anticipates some of the techniques of volume II.
Inhaltsverzeichnis
Categories, Products, Projective and Inductive Limits - Basic Concepts of Homological Algebra - Sheaves - Cohomology of Sheaves - Compact Riemann surfaces and Abelian Varieties
Details
Erscheinungsjahr: 2011
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 316
Reihe: Aspects of Mathematics
ISBN-13: 9783834818447
ISBN-10: 3834818445
Sprache: Englisch
Herstellernummer: 85048888
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Harder, Günter
Redaktion: Diederich, Klas
Auflage: 2nd überarbeitete ed. 2011
Hersteller: Springer Fachmedien Wiesbaden
Springer Fachmedien Wiesbaden GmbH
Aspects of Mathematics
Maße: 246 x 173 x 25 mm
Von/Mit: Günter Harder
Erscheinungsdatum: 07.09.2011
Gewicht: 0,773 kg
preigu-id: 106852401
Über den Autor
Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn
Zusammenfassung
This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own.
In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them.
For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with N-level structures. This new paragraph anticipates some of the techniques of volume II.
Inhaltsverzeichnis
Categories, Products, Projective and Inductive Limits - Basic Concepts of Homological Algebra - Sheaves - Cohomology of Sheaves - Compact Riemann surfaces and Abelian Varieties
Details
Erscheinungsjahr: 2011
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 316
Reihe: Aspects of Mathematics
ISBN-13: 9783834818447
ISBN-10: 3834818445
Sprache: Englisch
Herstellernummer: 85048888
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Harder, Günter
Redaktion: Diederich, Klas
Auflage: 2nd überarbeitete ed. 2011
Hersteller: Springer Fachmedien Wiesbaden
Springer Fachmedien Wiesbaden GmbH
Aspects of Mathematics
Maße: 246 x 173 x 25 mm
Von/Mit: Günter Harder
Erscheinungsdatum: 07.09.2011
Gewicht: 0,773 kg
preigu-id: 106852401
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