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The geometry of schemes / D...
The geometry of schemes
Springer ©2000

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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Título:
The geometry of schemes / David Eisenbud, Joe Harris
Editorial:
New York : Springer, ©2000
Descripción física:
1 online resource (x, 294 pages)
Tipo Audiovisual:
Andre fag (naturvidenskab og teknik) Andre fag
Mención de serie:
Graduate texts in mathematics ; 197
Bibliografía:
Includes bibliographical references (pages 279-283) and index
Contenido:
Cover -- Table of Contents -- Introduction -- 1. Basic Definitions -- 2. Examples -- 3. Projective Schemes -- 4. Classical Constructions -- 5. Local Constructions -- 6. Schemes and Functors -- References
Copyright/Depósito Legal:
55050946 70744360 228373104 456044224 475713536 488718537 559395108 646705810 722099513 814253591 853266559 888758485 923695406 1044206682 1056326986 1060838981 1073056764
ISBN:
0387226397 ( electronic bk.)
9780387226392 ( electronic bk.)
1280010479
9781280010477
6610010471
9786610010479
0387986375
9780387986371
0387986383
9780387986388
Materia:
Autores:
Enlace a formato físico adicional:
Print version: Eisenbud, David. Geometry of schemes., New York : Springer, ©2000 0387986375 0387986383 (DLC) 99036219 (OCoLC)41580624
Punto acceso adicional serie-Título:
Graduate texts in mathematics ; 197

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