RIGIDITY OF SMOOTH SCHUBERT VARIETIES IN HERMITIAN SYMMETRIC SPACES

@inproceedings{Hong2004RIGIDITYOS,
  title={RIGIDITY OF SMOOTH SCHUBERT VARIETIES IN HERMITIAN SYMMETRIC SPACES},
  author={Jieliang Hong},
  year={2004}
}
In this paper we study the space Zk(G/P, r[Xw]) of effective kcycles X in G/P with the homology class equal to an integral multiple of the homology class of Schubert variety Xw of type w. When Xw is a proper linear subspace Pk (k < n) of a linear space Pn in G/P ⊂ P(V ), we know that Zk(P, r[Pk]) is already complicated. We will show that for a smooth Schubert variety Xw in a Hermitian symmetric space, any irreducible subvariety X with the homology class [X] = r[Xw], r ∈ Z, is again a Schubert… CONTINUE READING

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