大学代数几何
豆瓣
Undergraduate Algebraic Geometry
里德
简介
《大学代数几何(英文版)》内容为:There are several good recent textbooks on algebraic geometry atthe graduate level.but not(to my knowledge)any designed for anundergraduate course.Humble notes are from a course given in twosuccessive years in the 3rd year of the Warwick undergraduate mathcourse,and are intended as a self-contained introductory textbook.
contents
0. WoffleChapter I. Playing with plane curves 1. Plane conics 2. Cubics and the group lawAppendix to Chapter I. Curves and their genusChapter II. The category of affine varieties 3. Affine varieties and the Nullstellensatz 4. Functions on varietiesChapter Iii. Applications 5. Projective varieties and birationai equivalence 6. Tangent space and nonsingularity, dimension 7. The 27 lines on a cubic surface 8. Final commentsIndex