Introduction to Algebraic Geometry 在线电子书 图书标签: 代数几何
发表于2024-12-25
Introduction to Algebraic Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic 00 and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters.
With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.
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Introduction to Algebraic Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024