| Saturday 21 December 2024 | |
| Events for day: Wednesday 15 February 2023 |
| 17:30 - 19:00 Algebraic Geometry Biweekly Webinar On Effective Cones of Algebraic Surfaces School MATHEMATICS It is an open problem to describe the shape of the effective cone of an algebraic surface. Nagata conjecture predicts part of this shape when the surface is the blow-up of the projective plane at general points. More recently Ciliberto and Kouvidakis proved that Nagata conjecture implies that the two-dimensional effective cone of the symmetric product C_2 of a general, genus g > 9, curve C is open on one side whenever g is not a square. In this talk I will show that the effective cone of the blow-up of C_2 at a general point is non-polyhedral for a general positive genus curve C. This result generalizes previous statements of J.F. Garcia and ... |