The Geometry of Schemes: 197 - Rilegato

Eisenbud, David; Harris, Joe

 
9780387986388: The Geometry of Schemes: 197
Rilegato
ISBN 10: 0387986383 ISBN 13: 9780387986388
Casa editrice: Springer-Verlag GmbH, 2000

Sinossi

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.

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Recensione

"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

Contenuti

1 Basic Definitions 2 Examples 3 Projective Schemes 4 Classical Constructions 5 Local Constructions 6 Schemes and Functors

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Editore
Springer-Verlag GmbH
Data di pubblicazione
2000
Lingua
Inglese
ISBN 10 
0387986383
ISBN 13 
9780387986388
Rilegatura
Copertina rigida
Numero di pagine
312
Contatto del produttore
non disponibile
Persona responsabile
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

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Heidelberg
69115
Germania

Altre edizioni note dello stesso titolo

9780387986371: The Geometry of Schemes: 197

Edizione in evidenza

ISBN 10:  0387986375 ISBN 13:  9780387986371
Casa editrice: Springer, 2001
Brossura