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Algebraic Geometry I: Schemes: With Examples and Exercises

Algebraic Geometry I: Schemes: With Examples and Exercises - Paperback

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Availability:In StockContributor:Ulrich Görtz, Torsten WedhornSeries:Springer Studium Mathematik - MasterPublish date:2020-07-28Pages:626
Language:EnglishPublisher:Springer SpektrumISBN-13:9783658307325ISBN-10:3658307323UPC:9783658307325Book Category:MathematicsBook Subcategory:GeometryBook Topic:AlgebraicSize:9.61 x 6.69 x 1.28 inchesWeight:2.2024Product ID:SCYDBWCK2W

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.

Language:EnglishPublisher:Springer SpektrumISBN-13:9783658307325ISBN-10:3658307323UPC:9783658307325Book Category:MathematicsBook Subcategory:GeometryBook Topic:AlgebraicSize:9.61 x 6.69 x 1.28 inchesWeight:2.2024Product ID:SCYDBWCK2W

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


Publisher: Springer Spektrum

Edition

2nd Corr. 2020 Edition

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