Rigidity of singular Schubert varieties in Gr(m,n)
Differential Geometry
2007-05-23 v1
Abstract
Let a=(p_1^{q_1}, ..., p_r^{q_r}) be a partition and a'=({p_1'}^{q_1'}, >..., {p_r'}^{q_r'}) be its conjugate. We will prove that if q_i, q_i > 1 for all i, then any irreducible subvariety X of Gr(m,n) whose homology class is an integral multiple of the Schubert class [\sigma_a] of type a is a Schubert variety of type a.
Cite
@article{arxiv.math/0410196,
title = {Rigidity of singular Schubert varieties in Gr(m,n)},
author = {Jaehyun Hong},
journal= {arXiv preprint arXiv:math/0410196},
year = {2007}
}
Comments
21 pages