书籍详情
大学代数几何
作者:(英)里德 著
出版社:世界图书出版公司
出版时间:2009-05-01
ISBN:9787510004612
定价:¥25.00
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内容简介
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.
作者简介
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目录
0. Woffle
Chapter I. Playing with plane curves
1. Plane conics
2. Cubics and the group law
Appendix to Chapter I. Curves and their genus
Chapter II. The category of affine varieties
3. Affine varieties and the Nullstellensatz
4. Functions on varieties
Chapter Iii. Applications
5. Projective varieties and birationai equivalence
6. Tangent space and nonsingularity, dimension
7. The 27 lines on a cubic surface
8. Final comments
Index
Chapter I. Playing with plane curves
1. Plane conics
2. Cubics and the group law
Appendix to Chapter I. Curves and their genus
Chapter II. The category of affine varieties
3. Affine varieties and the Nullstellensatz
4. Functions on varieties
Chapter Iii. Applications
5. Projective varieties and birationai equivalence
6. Tangent space and nonsingularity, dimension
7. The 27 lines on a cubic surface
8. Final comments
Index
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