Jaehyun Hong, Seoul National University, Korea Characterization of a Smooth
Schubert Variety Abstract Geometric structures on a Fano
manifold of Picard number one defined by the
variety of minimal rational tangents have been studied by Hwang and Mok in a series of works. On a rational homogeneous
manifold G/P of Picard
number one it is defined by the space of tangent directions to lines
contained in G/P after we
consider G/P as a projective
manifold by the first canonical embedding. In this talk we will consider the
geometric structure on a smooth Schubert variety in a rational homogeneous
manifold of Picard number one, defined by the space
of tangent directions to lines contained in it. Using this geometric
structure we will give a characterization of a smooth Schubert variety of a
rational homogeneous manifold of Picard number one.
This is a joint work with N. Mok. |