02495mam a2200337 a 4500 2428398 20180423115846.0 990611s2000 nyua b 001 0 eng 99036219 0387986375 (softcover : alk. paper) 0387986383 (hardcover : alk. paper) (OCoLC)ocm41580624 (NNC)2428398 DLC DLC MIA C#P OrLoB-B QA564 .E357 2000 516.3/5 21 Eisendud, David. The geometry of schemes / David Eisenbud, Joe Harris. New York : Springer, c2000. x, 294 p. : ill. ; 25 cm. Graduate texts in mathematics ; 197 Includes bibliographical references (p. [279]-283) and index. I. Basic Definitions. I.1. Affine Schemes. I.2. Schemes in General. I.3. Relative Schemes. I.4. The Functor of Points -- II. Examples. II.1. Reduced Schemes over Algebraically Closed Fields. II.2. Reduced Schemes over Non-Algebraically Closed Fields. II.3. Nonreduced Schemes. II.4. Arithmetic Schemes -- III. Projective Schemes. III.1. Attributes of Morphisms. III.2. Proj of a Graded Ring. III.3. Invariants of Projective Schemes -- IV. Classical Constructions. IV.1. Flexes of Plane Curves. IV.2. Blow-ups. IV.3. Fano Schemes. IV.4. Forms -- V. Local Constructions. V.1. Images. V.2. Resultants. V.3. Singular Schemes and Discriminants. V.4. Dual Curves. V.5. Double Point Loci -- VI. Schemes and Functors. VI.1. The Functor of Points. VI.2. Characterization of a Space by its Functor of Points. "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's 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."--BOOK JACKET. Schemes (Algebraic geometry) Harris, Joe, 1951- Graduate texts in mathematics ; 197. TOC lcc BK 603 603 0 0 lcc 0 0 MZUNILIB MZUNILIB 2016-03-17 0 QA 564 EIS 2000 MzULM-001309 2016-03-17 00:00:00 1309 2016-03-17 BK 0 0 lcc 0 0 MZUNILIB MZUNILIB 2016-03-17 0 QA 564 EIS 2000 MzULM-001308 2016-03-17 00:00:00 1308 2016-03-17 BK