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Titlebook: Algebraic Geometry; Robin Hartshorne Textbook 1977 Springer Science+Business Media New York 1977 Algebraic.Algebraische Geometrie.Geometry

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发表于 2025-3-21 19:56:28 | 显示全部楼层 |阅读模式
期刊全称Algebraic Geometry
影响因子2023Robin Hartshorne
视频video
学科分类Graduate Texts in Mathematics
图书封面Titlebook: Algebraic Geometry;  Robin Hartshorne Textbook 1977 Springer Science+Business Media New York 1977 Algebraic.Algebraische Geometrie.Geometry
影响因子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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978-1-4419-2807-8Springer Science+Business Media New York 1977
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Cohomology,In this chapter we define the general notion of cohomology of a sheaf of abelian groups on a topological space, and then study in detail the cohomology of coherent and quasi-coherent sheaves on a noetherian scheme.
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Required Work and Scope of the Thesisclosed field .. We define the main objects of study, which are algebraic varieties in affine or projective space. We introduce some of the most important concepts, such as dimension, regular functions, rational maps, nonsingular varieties, and the degree of a projective variety. And most important,
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Required Work and Scope of the Thesisirational transformations of surfaces. Also we treat two special classes of surfaces, the ruled surfaces, and the nonsingular cubic surfaces in ., both to illustrate the general theory, and as a first step in the more detailed study of various types of surfaces.
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