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Algebraic Geometry I: Schemes: With Examples and Exercises by Ulrich Görtz at Abbey's Bookshop,
Algebraic Geometry I: Schemes: With Examples and Exercises
— —
Ulrich Görtz Torsten Wedhorn

Algebraic Geometry I

Schemes: With Examples and Exercises

Ulrich Görtz,  Torsten Wedhorn

$275.95   $221.03

Paperback

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English
Springer Spektrum
28 July 2020
Algebraic geometry
Series: Springer Studium Mathematik - Master
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.
By:   ,
Imprint:   Springer Spektrum
Country of Publication:   Germany
Edition:   2nd corr. ed. 2020
Dimensions:   Height: 240mm,  Width: 168mm,  Spine: 33mm
Weight:   1.064kg
ISBN:   9783658307325
ISBN 10:   3658307323
Series:   Springer Studium Mathematik - Master
Pages:   626
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Introduction.- 1 Prevarieties.- 2 Spectrum of a Ring.- 3 Schemes.- 4 Fiber products.- 5 Schemes over fields.- 6 Local Properties of Schemes.- 7 Quasi-coherent modules.- 8 Representable Functors.- 9 Separated morphisms.- 10 Finiteness Conditions.- 11 Vector bundles.- 12 Affine and proper morphisms.- 13 Projective morphisms.- 14 Flat morphisms and dimension.- 15 One-dimensional schemes.- 16 Examples. 

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

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