Jaehyun Hong, Seoul National University, Korea

Characterization of the rational homogeneous space associated to a long root

Abstract

After a series of works done by Hwang and Mok, it is generally believed that the complex geometry of the Fano variety can be determined by the projective geometry of the variety of minimal rational tangents. In this talk, we will show that a Fano variety X of Picard number 1 is biholomorphic to a rational homogeneous space S = G/P associated to a long root, if the variety of minimal rational tangents at a general point in X is isomorphic to the variety of minimal rational tangents at a general point in S. This is a joint work with J.-M. Hwang.