Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorial Tangent Space and Rational Smoothness of Schubert
  Varieties   Following Contou-Carrere [CC], we consider the Bott-Samelson resolution of a
Schubert variety as a variety of galleries in the Tits building associated to
the situation. We prove that the rational smoothness of a Schubert variety can
be expressed in terms of a subspace of the Zariski tangent space called, the
combinatorial tangent space. For this, we use a characterization of rational
smoothness of a Schubert variety introduced by Carrell and Peterson [CP].

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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph