Download e-book for iPad: Algebraic Geometry: Part I: Schemes. With Examples and by Ulrich Görtz,Torsten Wedhorn

By Ulrich Görtz,Torsten Wedhorn

This publication introduces the reader to fashionable algebraic geometry. It offers Grothendieck's technically not easy language of schemes that's the foundation of an important advancements within the final fifty years inside of this region. 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 coated options. hence the reader reviews that the extra improvement of the idea yields an ever greater realizing of those attention-grabbing items. The textual content is complemented by way of many routines that serve to envision the comprehension of the textual content, deal with extra examples, or supply an outlook on extra effects. the amount handy is an advent to schemes. To get startet, it calls for simply easy wisdom in summary algebra and topology. crucial proof from commutative algebra are assembled in an appendix. will probably be complemented through 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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