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Algebraic Geometry: Part I: Schemes. With Examples and Exercises (Advanced Lectures in Mathematics) - Softcover
Synopsis
This comprehensive introduction to schemes is complemented by many exercises that serve to check the comprehension of the text, treat further examples and give an outlook on further results. Includes details from commutative algebra in an appendix.
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Book Description
New Textbook on Algebraic Geometry
From the Back Cover
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 startet, 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.
Prevarieties - Spectrum of a Ring - Schemes - Fiber products - Schemes over fields - Local properties of schemes - Quasi-coherent modules - Representable functors - Separated morphisms - Finiteness Conditions - Vector bundles - Affine and proper morphisms - Projective morphisms - Flat morphisms and dimension - One-dimensional schemes - Examples
Prof. Dr. Ulrich Görtz, Institute of Experimental Mathematics, University Duisburg-Essen
Prof. Dr. Torsten Wedhorn, Department of Mathematics, University of Paderborn
"About this title" may belong to another edition of this title.
- PublisherVieweg+Teubner Verlag
- Publication date2010
- ISBN 10 3834806765
- ISBN 13 9783834806765
- BindingPaperback
- LanguageEnglish
- Number of pages624
- Rating
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Algebraic Geometry I: Schemes with Examples and Exercises
Published by
Vieweg+Teubner Verlag, 2010
ISBN 10: 3834806765
ISBN 13: 9783834806765
Used
Soft cover
First Edition
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Soft cover. Condition: Good. No jacket. First edition. Cover is rubbed and cover corners are creased and worn. Spine is creased, but binding is secure. Fore edge of text block is lightly scuffed, but visible on pages. Ink annotations in margins, with a few underlines, on pages 1-149, but text is legible. All other pages are clean and unmarked. As is. Seller Inventory # 1142341
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Algebraic Geometry I. Schemes. With Examples and Exercises
Published by
Braunschweig, Vieweg + Teubner (Advanced Lectures in Mathematics), 2010
ISBN 10: 3834806765
ISBN 13: 9783834806765
Used
Softcover
Seller: Antiquariat Smock, Freiburg, Germany
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Condition: Gut. Formateinband: Paperback / kartonierte Ausgabe VII, 615 S. (24 cm) 1. Aufl.; Wohl unbenutzt; guter und sauberer Zustand! Sprache: Englisch Gewicht in Gramm: 1500 [Stichwörter: Algebraische Geometrie]. Seller Inventory # 62236
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Algebraic Geometry: Part I: Schemes. With Examples and Exercises (Advanced Lectures in Mathematics)
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Algebraic Geometry: Schemes. With Examples And Exercises: Pt.I
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Paperback. Condition: Brand New. 2010 edition. 619 pages. 9.75x6.75x1.50 inches. In Stock. Seller Inventory # zk3834806765
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