Overview
- A systematic approach combined with explicit motivation of theory
- Containing lots of concrete examples
- Your companion into the field of modern algebraic geometry
Part of the book series: Springer Studium Mathematik - Master (SSMM)
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Table of contents (17 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
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
Bibliographic Information
Book Title: Algebraic Geometry I: Schemes
Book Subtitle: With Examples and Exercises
Authors: Ulrich Görtz, Torsten Wedhorn
Series Title: Springer Studium Mathematik - Master
DOI: https://doi.org/10.1007/978-3-658-30733-2
Publisher: Springer Spektrum Wiesbaden
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2020
Softcover ISBN: 978-3-658-30732-5Published: 28 July 2020
eBook ISBN: 978-3-658-30733-2Published: 27 July 2020
Series ISSN: 2509-9310
Series E-ISSN: 2509-9329
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: Algebraic Geometry