By Ulrich Görtz,Torsten Wedhorn

ISBN-10: 3834806765

ISBN-13: 9783834806765

This publication introduces the reader to trendy algebraic geometry. It offers Grothendieck's technically tough language of schemes that's the foundation of crucial advancements within the final fifty years inside of this sector. a scientific therapy and motivation of the idea is emphasised, utilizing concrete examples to demonstrate its usefulness. numerous examples from the world of Hilbert modular surfaces and of determinantal forms are used methodically to debate the lined ideas. therefore the reader studies that the additional improvement of the speculation yields an ever greater knowing of those attention-grabbing gadgets. The textual content is complemented through many routines that serve to ascertain the comprehension of the textual content, deal with additional examples, or supply an outlook on additional effects. the amount to hand is an advent to schemes. To get startet, it calls for merely simple wisdom in summary algebra and topology. crucial evidence from commutative algebra are assembled in an appendix. it will likely be complemented via 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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