Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigidity of smooth Schubert varieties in Hermitian symmetric spaces   Schubert varieties are irreducible subvarieties of homogeneous manifold,
which are important to understand the geometry of homogeneous manifold G/P and
the action of the semisimple Lie group G. Consider the space of effective
cycles in G/P with homology class equal to an integral multiple of the homology
class of a Schubert variety X_w of type w. We will show that for a smooth
Schubert variety X_w in Hermitian symmetric space with trivial exceptions, this
cycle space is simple: any irreducible subvariety X with homology class
[X]=r[X_w] is again a Schubert variety of type w.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph