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The Geometry of Schemes by David Eisenbud, Joe Harris (Hardcover, 2000)

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Product Information

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.

Product Identifiers

PublisherSpringer-Verlag New York Inc.

ISBN-139780387986388

eBay Product ID (ePID)90911407

Product Key Features

Number of Pages294 Pages

LanguageEnglish

Publication NameThe Geometry of Schemes

Publication Year2000

SubjectMathematics

TypeTextbook

AuthorDavid Eisenbud, Joe Harris

SeriesGraduate Texts in Mathematics

FormatHardcover

Dimensions

Item Height235 mm

Item Weight1360 g

Item Width155 mm

Volume197

Additional Product Features

Country/Region of ManufactureUnited States

Title_AuthorDavid Eisenbud, Joe Harris