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Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians: 39 (Aspects of Mathematics) - Hardcover
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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 etale cohomology- and states some fundamental theorems.
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Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn
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In this second volume of "Lectures on Algebraic Geometry", the author starts with some foundational concepts in the theory of schemes and gives a somewhat casual introduction into commutative algebra. After that he proves the finiteness results for coherent cohomology and discusses important applications of these finiteness results. In the two last chapters, curves and their Jacobians are treated and some outlook into further directions of research is given.<br>The first volume is not necessarily a prerequisite for the second volume if the reader accepts the concepts on sheaf cohomology. On the other hand, the concepts and results in the second volume have been historically inspired by the theory of Riemann surfaces. There is a deep connection between these two volumes, in spirit they form a unity.<br><br><br>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.<br><br>Prof. Dr. Günter Harder, Department of Mathematics, University of Bonn, and Max-Planck-Institute for Mathematics, Bonn, Germany.<br><br>
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Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians
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Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians, 2nd
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Soft cover. Zustand: New. Zustand des Schutzumschlags: New. International Edition. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Sewn binding. Cloth over boards. Contains: Illustrations, black & white. Aspects of Mathematics, 39. Audience: General/trade. Bestandsnummer des Verkäufers K5160001143
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Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians (Aspects of Mathematics), 2nd edition
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U.S.A.: Vieweg+Teubner Verlag, 2011
ISBN 10: 3834804320
ISBN 13: 9783834804327
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Soft cover. Zustand: New. Zustand des Schutzumschlags: New. International Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Bestandsnummer des Verkäufers ABE-1483354130788
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Lectures on Algebraic Geometry II
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Algebraische Geometrie: Von Abel und Riemann bis heuteProf. Dr. Guenter Harder, Max-Planck-Institute for Mathematics, BonnThis second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The fin. Bestandsnummer des Verkäufers 5379170
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Lectures on Algebraic Geometry Basic Concepts, Coherent Cohomology, Curves and their Jacobians
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this second volume of 'Lectures on Algebraic Geometry', the author starts with some foundational concepts in the theory of schemes and gives a somewhat casual introduction into commutative algebra. After that he proves the finiteness results for coherent cohomology and discusses important applications of these finiteness results. In the two last chapters, curves and their Jacobians are treated and some outlook into further directions of research is given.The first volume is not necessarily a prerequisite for the second volume if the reader accepts the concepts on sheaf cohomology. On the other hand, the concepts and results in the second volume have been historically inspired by the theory of Riemann surfaces. There is a deep connection between these two volumes, in spirit they form a unity.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.Prof. Dr. Günter Harder, Department of Mathematics, University of Bonn, and Max-Planck-Institute for Mathematics, Bonn, Germany. 365 pp. Englisch. Bestandsnummer des Verkäufers 9783834804327
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Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians (Aspects of Mathematics, 39)
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Lectures on Algebraic Geometry II : Basic Concepts, Coherent Cohomology, Curves and their Jacobians
Verlag:
Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, 2011
ISBN 10: 3834804320
ISBN 13: 9783834804327
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Hardcover
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In this second volume of 'Lectures on Algebraic Geometry', the author starts with some foundational concepts in the theory of schemes and gives a somewhat casual introduction into commutative algebra. After that he proves the finiteness results for coherent cohomology and discusses important applications of these finiteness results. In the two last chapters, curves and their Jacobians are treated and some outlook into further directions of research is given.The first volume is not necessarily a prerequisite for the second volume if the reader accepts the concepts on sheaf cohomology. On the other hand, the concepts and results in the second volume have been historically inspired by the theory of Riemann surfaces. There is a deep connection between these two volumes, in spirit they form a unity.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.Prof. Dr. Günter Harder, Department of Mathematics, University of Bonn, and Max-Planck-Institute for Mathematics, Bonn, Germany. Bestandsnummer des Verkäufers 9783834804327
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Lectures on Algebraic Geometry II
Verlag:
Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Apr 2011, 2011
ISBN 10: 3834804320
ISBN 13: 9783834804327
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Hardcover
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Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 380 pp. Englisch. Bestandsnummer des Verkäufers 9783834804327
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Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians (Aspects of Mathematics, 39)
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Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians (Aspects of Mathematics, 39)
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