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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.
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.
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.
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, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Aspects of Mathematics |
Inhalt: | Einband - fest (Hardcover) |
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 |
Verantwortliche Person für die EU: | Vieweg+Teubner, Abraham-Lincoln-Str. 46, D-65198 Wiesbaden, buchhandel-buch@springer.com |
Maße: | 246 x 173 x 25 mm |
Von/Mit: | Günter Harder |
Erscheinungsdatum: | 07.09.2011 |
Gewicht: | 0,773 kg |
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.
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, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Aspects of Mathematics |
Inhalt: | Einband - fest (Hardcover) |
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 |
Verantwortliche Person für die EU: | Vieweg+Teubner, Abraham-Lincoln-Str. 46, D-65198 Wiesbaden, buchhandel-buch@springer.com |
Maße: | 246 x 173 x 25 mm |
Von/Mit: | Günter Harder |
Erscheinungsdatum: | 07.09.2011 |
Gewicht: | 0,773 kg |
Sicherheitshinweis