Rational curves on hypersurfaces

Rational curves on hypersurfaces

-
Roya Beheshti Zavareh, Washington University, St. Louis
Fine Hall 322

This talk is on the geometry of spaces of rational curves on Fano hypersurfaces. I will talk about some of the known results on the dimension, irreducibility, and the Kodaira dimension of these spaces. I will also discuss the problem of bounding the dimension of the cones of non-free rational curves on general hypersurfaces.