Algebraic Geometry I: Schemes - With Examples and Exercises (Paperback, 2nd corr. ed. 2020)

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.

General

Imprint:	Springer Spektrum
Country of origin:	Germany
Series:	Springer Studium Mathematik - Master
Release date:	July 2020
First published:	2020
Authors:	Ulrich Goertz • Torsten Wedhorn
Dimensions:	240 x 168 x 33mm (L x W x T)
Format:	Paperback
Pages:	626
Edition:	2nd corr. ed. 2020
ISBN-13:	978-3-658-30732-5
Languages:	English
Subtitles:	German
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	3-658-30732-3
Barcode:	9783658307325

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