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

By Ulrich Görtz,Torsten Wedhorn

This booklet introduces the reader to fashionable algebraic geometry. It provides Grothendieck's technically difficult language of schemes that's the foundation of crucial advancements within the final fifty years inside of this zone. a scientific remedy and motivation of the speculation is emphasised, utilizing concrete examples to demonstrate its usefulness. a number of examples from the area of Hilbert modular surfaces and of determinantal kinds are used methodically to debate the coated recommendations. hence the reader reviews that the extra improvement of the idea yields an ever greater knowing of those attention-grabbing items. The textual content is complemented by means of many workouts that serve to envision the comprehension of the textual content, deal with additional examples, or provide an outlook on additional effects. the quantity to hand is an advent to schemes. To get startet, it calls for merely simple wisdom in summary algebra and topology. crucial proof 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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