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The geometry of schemes / D...
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
Monografía
monografia Rebiun22379165 https://catalogo.rebiun.org/rebiun/record/Rebiun22379165 m o d cr cnu|||unuuu 040401s2000 nyu ob 001 0 eng d 55050946 70744360 228373104 456044224 475713536 488718537 559395108 646705810 722099513 814253591 853266559 888758485 923695406 1044206682 1056326986 1060838981 1073056764 0387226397 electronic bk.) 9780387226392 electronic bk.) 1280010479 9781280010477 6610010471 9786610010479 0387986375 9780387986371 0387986383 9780387986388 AU@ 000051745010 AU@ 000053246334 NZ1 14977928 NZ1 15296263 N$T eng pn N$T OCLCQ OCL YDXCP OCLCG OCLCQ TNF OCLCQ REDDC BAKER CO3 UAB DKDLA MERUC CCO E7B OCLCO QE2 IDEBK OCLCQ OCLCA GW5XE OCLCF OCLCQ NLGGC AU@ OCLCQ COO EBLCP OCLCQ CUS OCLCQ MOR PIFBR OCLCQ WY@ LUE STF OCLCQ CEF NRAMU TOF U3W OCLCQ TKN LEAUB MAT 012010 bisacsh PBM bicssc 516.3/5 22 Eisenbud, David author The geometry of schemes David Eisenbud, Joe Harris New York Springer ©2000 New York New York Springer 1 online resource (x, 294 pages) 1 online resource (x, 294 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier Graduate texts in mathematics 197 Includes bibliographical references (pages 279-283) and index Cover -- Table of Contents -- Introduction -- 1. Basic Definitions -- 2. Examples -- 3. Projective Schemes -- 4. Classical Constructions -- 5. Local Constructions -- 6. Schemes and Functors -- References 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 Schemes (Algebraic geometry) Schémas (Géométrie algébrique) MATHEMATICS- Geometry- Algebraic. Schemes (Algebraic geometry) Schémas (Géométrie algébrique) Algebraic Geometry. Andre fag (naturvidenskab og teknik) Andre fag Electronic books Harris, Joseph 1951-) author Print version Eisenbud, David. Geometry of schemes. New York : Springer, ©2000 0387986375 0387986383 (DLC) 99036219 (OCoLC)41580624 Graduate texts in mathematics 197