Lectures on Algebraic Geometry II
Basic Concepts, Coherent Cohomology, Curves and their Jacobians
Authors: Harder, Günter
Free Preview- Algebraische Geometrie: Von Abel und Riemann bis heute
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- About this book
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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.
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.
- About the authors
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Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn
- Table of contents (5 chapters)
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Basic Concepts of the Theory of Schemes
Pages 1-53
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Some Commutative Algebra
Pages 55-119
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Projective Schemes
Pages 121-182
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Curves and the Theorem of Riemann-Roch
Pages 183-264
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The Picard functor for curves and their Jacobians
Pages 265-356
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Table of contents (5 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Lectures on Algebraic Geometry II
- Book Subtitle
- Basic Concepts, Coherent Cohomology, Curves and their Jacobians
- Authors
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- Günter Harder
- Series Title
- Aspects of Mathematics
- Series Volume
- 39
- Copyright
- 2011
- Publisher
- Vieweg+Teubner Verlag
- Copyright Holder
- Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden
- eBook ISBN
- 978-3-8348-8159-5
- DOI
- 10.1007/978-3-8348-8159-5
- Hardcover ISBN
- 978-3-8348-0432-7
- Softcover ISBN
- 978-3-8348-2686-2
- Series ISSN
- 0179-2156
- Edition Number
- 1
- Number of Pages
- XIII, 365
- Topics
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