On maximal number of rational curves of bounded degree on certain surfaces

Abstract: I will discuss bounds on the number of rational curves of fixed degree on surfaces of various types with special emphasis on polarized Enriques surfaces. In particular, I will sketch the proof of the bound of at most 12 rational curves of degree at most d on high-degree Enriques surfaces (based mostly on joint work with Prof. M. Schuett (Hannover)).

algebraic geometry

Audience: researchers in the discipline

ODTU-Bilkent Algebraic Geometry Seminars