Rigidity of singular Schubert varieties in Gr(m,n)

Details Rigidity of singular Schubert varieties in Gr(m,n) Rigidity of singular Schubert varieties in Gr(m,n)

2004-10-07

arxiv.org/abs/math/0410196v1

J. of Differential Geometry, vol. 71, no. 1, 1-22 (2005)

Mathematics

Differential Geometry

21 pages

Scientific paper

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.

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