大学代数几何

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

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．