Overview

"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."

Full Product Details

Author:   David Eisenbud ,  Joe Harris
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2000 ed.
Volume:   197
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.360kg
ISBN:  

9780387986388

ISBN 10:   0387986383
Pages:   294
Publication Date:   01 January 2000
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Basic Definitions.- Examples.- Projective Schemes.- Classical Constructions.- Local Constructions.- Schemes and Functors.

Reviews

A great subject and expert authors! <br> Nieuw Archief voor Wiskunde, June 2001 Both Eisenbud and Harris are experienced and compelling educators of modern mathematics. This book is strongly recommended to anyone who would like to know what schemes are all about. <br> Newsletter of the New Zealand Mathematical Society, No. 82, August 2001

A great subject and expert authors! Nieuw Archief voor Wiskunde,June 2001 Both Eisenbud and Harris are experienced and compelling educators of modern mathematics. This book is strongly recommended to anyone who would like to know what schemes are all about. Newsletter of the New Zealand Mathematical Society, No. 82, August 2001

A great subject and expert authors! Nieuw Archief voor Wiskunde,June 2001 Both Eisenbud and Harris are experienced and compelling educators of modern mathematics. This book is strongly recommended to anyone who would like to know what schemes are all about. Newsletter of the New Zealand Mathematical Society, No. 82, August 2001

A great subject and expert authors! Nieuw Archief voor Wiskunde,June 2001 Both Eisenbud and Harris are experienced and compelling educators of modern mathematics. This book is strongly recommended to anyone who would like to know what schemes are all about. Newsletter of the New Zealand Mathematical Society, No. 82, August 2001

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