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ISBN: 9780387986371 - The Geometry of Schemes
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The Geometry of Schemes

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David Eisenbud

ISBN: 9780387986371
Format: Paperback
Publisher: Springer-Verlag New York Inc.
Edition: 1st ed. 2000. Corr. 2nd printing 2001


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This book is intended to bridge the chasm between a first course in classical algebraic geometry and a technical treatise on schemes. It focuses on examples and strives to show "what's going on" behind the definitions. There are many exercises to test and extend the reader's understanding. The prerequisites are modest: a little commutative algebra and an acquaintance with algebraic varieties, roughly at the level of a one…

 

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Grothendieck's beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
 
 

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