The Geometry of Schemes (Paperback)

David Eisenbud

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Language: English

Published by Springer-Verlag New York Inc., New York, NY, 2000

0387986375 / 9780387986371

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Paperback. The theory of schemes is the foundation for algebraic geometry proposed and elaborated by Alexander Grothendieck and his coworkers. It has allowed major progress in classical areas of algebraic geometry such as invariant theory and the moduli of curves. It integrates algebraic number theory with algebraic geometry, fulfilling the dreams of earlier generations of number theorists. This integration has led to proofs of some of the major conjectures in number theory (Deligne's proof of the Weil Conjectures, Faltings proof of the Mordell Conjecture). 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 is 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-semester course. The book aims to show schemes in relation to other geometric ideas, such as the theory of manifolds. Some familiarity with these ideas is helpful, though not required. This text is intended to fill the gap between texts on classical algebraic geometry and the full-blown accounts of the theory of schemes. The text focuses on interesting examples, with a minimum of machinery, to show what is happening in the field. Included is a large number of exercises, spread throughout the text. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

Seller Inventory # 9780387986371

Title
The Geometry of Schemes (Paperback)
Author
David Eisenbud
Publisher
Springer-Verlag New York Inc., New York, NY
Publication year
2000
Condition
new
Binding
Paperback
Language
English
ISBN 10
0387986375
ISBN 13
9780387986371
Edition
1st Edition

Grand Eagle Retail

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