Introduction to Plane Algebraic Curves pdf epub mobi txt 电子书 下载 2025
- 数学
- 代数曲线
- Birkhäuser
- 2005
- 代数曲线
- 平面曲线
- 代数几何
- 射影几何
- 复分析
- 代数拓扑
- birational geometry
- 曲线论
- 高等代数
- 数学
具体描述
* Employs proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in which the topological-analytic aspects are stressed *Requires only a basic knowledge of algebra, with all necessary algebraic facts collected into several appendices * Studies algebraic curves over an algebraically closed field K and those of prime characteristic, which can be applied to coding theory and cryptography * Covers filtered algebras, the associated graded rings and Rees rings to deduce basic facts about intersection theory of plane curves, applications of which are standard tools of computer algebra * Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook
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