代數幾何   (89年度 下學期)

上課方式將邀請學者黃一樵，王志中，陳榮凱，馮是才，加上我本人共同講授。課程內容以Robin Hartshorne的" Algebraic geometry "其中的Chapter 2 (Schemes), 1-6節以及Chapter 3 (Cohomology), 1, 2, 4, 5節為主，再加上一些複幾何專題。 1. Affine varieties and projective varieties 2. Sheaves and schemes I 3. Sheaves and schemes II 4. Sheaves and schemes III 5. First properties of schemes I 6. First properties of schemes II 7. Separated and proper morphisms I 8. Separated and proper morphisms II 9. Sheaves of module I 10. Sheaves of module II 11. Divisors I 12. Divisors II 13. Projective morphisms（進度及時間許可下進行） 14. Derived functor 15. Cohomology of sheaves 16. Cech cohomology 17. The cohomology of projective spaces 18. Complex and Kahler manifolds 19. Topics in Kahler geometry I 20. Topics in Kahler geometry II

以Robin Hartshorne的" Algebraic geometry "其中的Chapter 2 (Schemes), 1-6節以及Chapter 3 (Cohomology), 1, 2, 4, 5節為主，再加上一些複幾何專題。