See-Hak Seong : Rational curves on general type hypersurfaces

Posted by See-Hak Seong , part of the Graduate Algebraic Geometry Seminar.

At

Oct. 3, 2018, 2 p.m.

In

712 SEO

Abstract

There is a Voisin's conjecture, which states that there would be a bounds for the degree of rational curves, when those curves lie on a very general hypersurface of general type. Recently, Riedl and Yang showed that all the rational curves in hypersurface will be lines, when we work on specific degree of hypersurfaces. I will talk how they worked on this problem.