Algebraic Geometry I: Schemes
With Examples and Exercises
Autoren: Görtz, Ulrich, Wedhorn, Torsten
Vorschau- 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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- Über dieses Lehrbuch
-
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.
- Über die Autor*innen
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Prof. Dr. Ulrich Görtz, Institute of Experimental Mathematics, University Duisburg-Essen
Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technical University of Darmstadt
- Inhaltsverzeichnis (17 Kapitel)
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Introduction
Seiten 1-6
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Prevarieties
Seiten 7-40
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Spectrum of a Ring
Seiten 41-66
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Schemes
Seiten 67-94
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Fiber products
Seiten 95-120
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Inhaltsverzeichnis (17 Kapitel)
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Bibliografische Information
- Bibliographic Information
-
- Buchtitel
- Algebraic Geometry I: Schemes
- Buchuntertitel
- With Examples and Exercises
- Autoren
-
- Ulrich Görtz
- Torsten Wedhorn
- Titel der Buchreihe
- Springer Studium Mathematik - Master
- Copyright
- 2020
- Verlag
- Springer Spektrum
- Copyright Inhaber
- 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
- Buchreihen ISSN
- 2509-9310
- Auflage
- 2
- Seitenzahl
- VII, 626
- Anzahl der Bilder
- 15 schwarz-weiß Abbildungen
- Zusätzliche Informationen
- Originally Published by Springer Fachmedien Wiesbaden GmbH 2010
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