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Titlebook: Algebraic Geometry; An Introduction Daniel Perrin Textbook 2008 Springer-Verlag London 2008 Algebra.Arithmetic.Riemann-Roch theorem.algebra

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期刊全稱Algebraic Geometry
期刊簡(jiǎn)稱An Introduction
影響因子2023Daniel Perrin
視頻videohttp://file.papertrans.cn/153/152592/152592.mp4
發(fā)行地址Introduces the fundamental tools of algebraic geometry at a level suitable for beginning researchers in the domain
學(xué)科分類Universitext
圖書封面Titlebook: Algebraic Geometry; An Introduction Daniel Perrin Textbook 2008 Springer-Verlag London 2008 Algebra.Arithmetic.Riemann-Roch theorem.algebra
影響因子This book is built upon a basic second-year masters course given in 1991– 1992, 1992–1993 and 1993–1994 at the Universit′ e Paris-Sud (Orsay). The course consisted of about 50 hours of classroom time, of which three-quarters were lectures and one-quarter examples classes. It was aimed at students who had no previous experience with algebraic geometry. Of course, in the time available, it was impossible to cover more than a small part of this ?eld. I chose to focus on projective algebraic geometry over an algebraically closed base ?eld, using algebraic methods only. The basic principles of this course were as follows: 1) Start with easily formulated problems with non-trivial solutions (such as B′ ezout’s theorem on intersections of plane curves and the problem of rationalcurves).In1993–1994,thechapteronrationalcurveswasreplaced by the chapter on space curves. 2) Use these problems to introduce the fundamental tools of algebraic ge- etry: dimension, singularities, sheaves, varieties and cohomology. I chose not to explain the scheme-theoretic method other than for ?nite schemes (which are needed to be able to talk about intersection multiplicities). A short summary is given in an appe
Pindex Textbook 2008
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https://doi.org/10.1007/978-1-84800-056-8Algebra; Arithmetic; Riemann-Roch theorem; algebraic geometry; cohomology; curves; dimension; geometry; proj
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Algebraic Geometry978-1-84800-056-8Series ISSN 0172-5939 Series E-ISSN 2191-6675
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