Springer Science & Business Media, Dec 19, 1977 - Mathematics - 496 pages
Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the University of California at Berkeley. He is the author of "Residues and Duality" (1966), "Foundations of Projective Geometry (1968), "Ample Subvarieties of Algebraic Varieties" (1970), and numerous research titles. His current research interest is the geometry of projective varieties and vector bundles. He has been a visiting professor at the College de France and at Kyoto University, where he gave lectures in French and in Japanese, respectively. Professor Hartshorne is married to Edie Churchill, educator and psychotherapist, and has two sons. He has travelled widely, speaks several foreign languages, and is an experienced mountain climber. He is also an accomplished amateur musician: he has played the flute for many years, and during his last visit to Kyoto he began studying the shakuhachi.
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I struggled through its first three chapters during two grad courses at UIUC. I didn't quite understand what I was doing at the very end but I found the whole thing enjoyable and sometimes even fun ... Read full review
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A-module algebraic ample associated assume base birational called closed point closed subscheme coherent sheaf cohomology complete complete intersection conclude consider contained corresponding cover cubic curve define definition denote determined dimension divisor elements embedding equal equivalent exact sequence Example exists extension fact fibre field finite flat follows function functor Furthermore genus given gives global sections graded hand Hence homogeneous homomorphism ideal induced injective integral intersection invertible sheaf irreducible isomorphism linear system locally free morphism multiplicity natural noetherian nonsingular normal Note obtain open set open subset particular plane polynomial prime Proj projective PROOF proper properties Proposition prove rank rational reduced regular Remark result ring scheme separated sheaf sheaves singular space Spec structure surface surjective theorem theory topological space transformation unique variety
Page 469 - A simple analytical proof of a fundamental property of birational transformations', Proc.
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Limited preview - 2005
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The Arithmetic of Elliptic Curves
Joseph H. Silverman
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