Algebraic Geometry pdf epub mobi txt 电子书 下载 2025
- 2007
- 数学
- 代数几何7
- 代数几何
- Springer
- Geometry
- Algebraic_Geometry
- 代数几何
- 代数簇
- 射影几何
- 交换代数
- 同调代数
- 代数拓扑
- 数论几何
- 复代数
- Birational Geometry
- Scheme Theory
具体描述
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.
作者简介
目录信息
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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