Geometry of Schemes

Name: Geometry of Schemes
Price: 52.35 USD
Availability: InStock
ISBN: 9780387986371

ISBN-10: 0387986375

ISBN-13: 9780387986371

Edition: 2000

Authors: David Eisenbud, Joe Harris

List price: $69.99

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Description:

The theory of schemes is the foundation for algebraic geometry proposed and elaborated by Alexander Grothendieck and his co-workers. 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…

Book details

List price: $69.99
Copyright year: 2000
Publisher: Springer New York
Publication date: 1/25/2000
Binding: Paperback
Pages: 294
Size: 6.10" wide x 9.25" long x 0.24" tall
Weight: 1.144
Language: English



Introduction



Basic Definitions



Affine Schemes



Schemes in General



Relative Schemes



The Functor of Points



Examples



Reduced Schemes over Algebraically Closed Fields



Reduced Schemes over Non-Algebraically Closed Fields



Nonreduced Schemes



Arithmetic Schemes



Projective Schemes



Attributes of Morphisms



Proj of a Graded Ring



Invariants of Projective Schemes



Classical Constructions



Flexes of Plane Curves



Blow-ups



Fano Schemes



Forms



Local Constructions



Images



Resultants



Singular Schemes and Discriminants



Dual Curves



Double Point Loci



Schemes and Functors



The Functor of Points



Characterization of a Space by its Functor of Points


References


Index