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Aspects of Mathematics

Lectures on Algebraic Geometry II

Basic Concepts, Coherent Cohomology, Curves and their Jacobians

Authors: Harder, Günter

  • Algebraische Geometrie: Von Abel und Riemann bis heute

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  • ISBN 978-3-8348-2686-2
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About this book

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

Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn

Table of contents (5 chapters)

  • Basic Concepts of the Theory of Schemes

    Harder, Prof. Dr. Günter

    Pages 1-53

    Preview Buy Chapter 30,19 €
  • Some Commutative Algebra

    Harder, Prof. Dr. Günter

    Pages 55-119

    Preview Buy Chapter 30,19 €
  • Projective Schemes

    Harder, Prof. Dr. Günter

    Pages 121-182

    Preview Buy Chapter 30,19 €
  • Curves and the Theorem of Riemann-Roch

    Harder, Prof. Dr. Günter

    Pages 183-264

    Preview Buy Chapter 30,19 €
  • The Picard functor for curves and their Jacobians

    Harder, Prof. Dr. Günter

    Pages 265-356

    Preview Buy Chapter 30,19 €

Buy this book

eBook 83,29 €
price for Spain (gross)
  • ISBN 978-3-8348-8159-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-8348-0432-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-8348-2686-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Lectures on Algebraic Geometry II
Book Subtitle
Basic Concepts, Coherent Cohomology, Curves and their Jacobians
Authors
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