Rigidity of singular Schubert varieties in Gr(m,n)
Abstract
Let a=(p1q1, ..., prqr) be a partition and a'=(p1'q1', >..., pr'qr') be its conjugate. We will prove that if qi, qi > 1 for all i, then any irreducible subvariety X of Gr(m,n) whose homology class is an integral multiple of the Schubert class [σa] of type a is a Schubert variety of type a.
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