| Speaker: | Jihun Park (Postech) |
|---|---|
| Title: | Cylinders in smooth del Pezzo surfaces |
| Date (JST): | Tue, Apr 15, 2014, 10:30 - 12:00 |
| Place: | Seminar Room A |
| Abstract: | An anticanonical cylinder on a del Pezzo surface S is the complement of the support of an effective Q-divisor D such that is Q-linearly equivalent to -K_S and S-Supp(D) is isomorphic to A^1 x Z for some affine variety Z. In this talk, it will be shown that a smooth del Pezzo surface of low degree (especially, a smooth cubic surface) cannot have any anticanonical cylinder. This implies that the affine cone over a smooth cubic surface cannot admit a non-trivial G_a-action. |
