By Ulrich Görtz, Torsten Wedhorn
This e-book introduces the reader to fashionable algebraic geometry. It provides Grothendieck's technically tough language of schemes that's the foundation of an important advancements within the final fifty years inside this sector. a scientific remedy and motivation of the idea is emphasised, utilizing concrete examples to demonstrate its usefulness. numerous examples from the area of Hilbert modular surfaces and of determinantal types are used methodically to debate the coated options. hence the reader stories that the extra improvement of the speculation yields an ever larger figuring out of those attention-grabbing items. 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 to hand is an creation to schemes. To get startet, it calls for simply easy 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.
Read or Download Algebraic Geometry: Part I: Schemes. With Examples and Exercises (Advanced Lectures in Mathematics) PDF
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