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Springer Studium Mathematik - Master

Algebraic Geometry I: Schemes

With Examples and Exercises

Authors: Görtz, Ulrich, Wedhorn, Torsten

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  • A systematic approach combined with explicit motivation of theory
  • Containing lots of concrete examples
  • Your companion into the field of modern algebraic geometry
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eBook 64,19 €
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  • ISBN 978-3-658-30733-2
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Softcover 77,99 €
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  • ISBN 978-3-658-30732-5
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About this Textbook

This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get started, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes.

For the second edition, several mistakes and many smaller errors and misprints have been corrected.

About the authors

Prof. Dr. Ulrich Görtz, Institute of Experimental Mathematics, University Duisburg-Essen
Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technical University of Darmstadt

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook 64,19 €
price for Spain (gross)
  • ISBN 978-3-658-30733-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 77,99 €
price for Spain (gross)
  • ISBN 978-3-658-30732-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Geometry I: Schemes
Book Subtitle
With Examples and Exercises
Authors
Series Title
Springer Studium Mathematik - Master
Copyright
2020
Publisher
Springer Spektrum
Copyright Holder
Springer Fachmedien Wiesbaden GmbH, part of Springer Nature
eBook ISBN
978-3-658-30733-2
DOI
10.1007/978-3-658-30733-2
Softcover ISBN
978-3-658-30732-5
Series ISSN
2509-9310
Edition Number
2
Number of Pages
VII, 626
Number of Illustrations
15 b/w illustrations
Additional Information
Originally Published by Springer Fachmedien Wiesbaden GmbH 2010
Topics

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