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[pdf] Algebraic Geometry

Algebraic Geometry书籍详细信息

ISBN：9781848000551
作者：Daniel Perrin / Catriona Maclean
出版社：Springer
出版时间：2007-12-19
页数：275
价格：USD 69.95
纸张：暂无纸张
装帧：Paperback
开本：暂无开本
语言：暂无语言
丛书：Universitext
适合人群：Mathematicians, Students of Mathematics, Academics in Pure Mathematics, Researchers in Algebraic Geometry, enthusiasts of Advanced Mathematics, Teachers of Mathematics, Graduate Students in Mathematics
TAG：Algebra / Mathematics / Abstract Algebra / Geometry / Commutative Algebra / Manifolds / Homology / Cohomology / Riemann Surfaces / Algebraic Curves
豆瓣评分：暂无豆瓣评分
更新时间：2025-05-08 06:26:02

内容简介：

Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject; it assumes only the standard background of undergraduate algebra. The book starts with easily-formulated problems with non-trivial solutions and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.

书籍目录：

Affine algebraic sets Projective algebraic sets Sheaves and varieties Dimension Tangent spaces and singular points Bézout's theorem Sheaf cohomology Arithmetic genus of curves and the weak Riemann-Roch theorem Rational maps, geometric genus and rational curves Liaison of space curves

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