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Cover: 9783834804327 | Lectures on Algebraic Geometry II | Günter Harder | Buch | xiii | 2011
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Lectures on Algebraic Geometry II
Basic Concepts, Coherent Cohomology, Curves and their Jacobians
Buch von Günter Harder
Sprache: Englisch

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Beschreibung
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved.

Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved.

Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
Über den Autor
Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn
Zusammenfassung
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved.

Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
Inhaltsverzeichnis
Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobians
Details
Erscheinungsjahr: 2011
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Aspects of Mathematics
Inhalt: xiii
365 S.
ISBN-13: 9783834804327
ISBN-10: 3834804320
Sprache: Englisch
Herstellernummer: 85032111
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Harder, Günter
Herausgeber: Klas Diederich
Hersteller: Vieweg & Teubner
Vieweg+Teubner Verlag
Aspects of Mathematics
Maße: 246 x 173 x 29 mm
Von/Mit: Günter Harder
Erscheinungsdatum: 05.04.2011
Gewicht: 0,89 kg
Artikel-ID: 101880921
Über den Autor
Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn
Zusammenfassung
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved.

Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
Inhaltsverzeichnis
Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobians
Details
Erscheinungsjahr: 2011
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Aspects of Mathematics
Inhalt: xiii
365 S.
ISBN-13: 9783834804327
ISBN-10: 3834804320
Sprache: Englisch
Herstellernummer: 85032111
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Harder, Günter
Herausgeber: Klas Diederich
Hersteller: Vieweg & Teubner
Vieweg+Teubner Verlag
Aspects of Mathematics
Maße: 246 x 173 x 29 mm
Von/Mit: Günter Harder
Erscheinungsdatum: 05.04.2011
Gewicht: 0,89 kg
Artikel-ID: 101880921
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