Get Algebraic Geometry: Part I: Schemes. With Examples and PDF

By Ulrich Görtz,Torsten Wedhorn

ISBN-10: 3834806765

ISBN-13: 9783834806765

This booklet introduces the reader to trendy algebraic geometry. It offers Grothendieck's technically difficult language of schemes that's the foundation of an important advancements within the final fifty years inside of this quarter. a scientific remedy and motivation of the idea is emphasised, utilizing concrete examples to demonstrate its usefulness. a number of examples from the area of Hilbert modular surfaces and of determinantal forms are used methodically to debate the lined options. hence the reader stories that the additional improvement of the idea yields an ever higher realizing of those attention-grabbing gadgets. The textual content is complemented by way of many workouts that serve to examine the comprehension of the textual content, deal with additional examples, or supply an outlook on additional effects. the amount handy is an creation to schemes. To get startet, it calls for purely simple wisdom in summary algebra and topology. crucial evidence from commutative algebra are assembled in an appendix. it is going to be complemented by means of a moment quantity at the cohomology of schemes.

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Algebraic Geometry: Part I: Schemes. With Examples and Exercises (Advanced Lectures in Mathematics) by Ulrich Görtz,Torsten Wedhorn

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