Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular loci of cominuscule Schubert varieties   Let X = G/P be a cominuscule rational homogeneous variety. (Equivalently, X
admits the structure of a compact Hermitian symmetric space.) I give a uniform
description (that is, independent of type) of the irreducible components of the
singular locus of a Schubert variety Y in X in terms of representation
theoretic data. The result is based on a recent characterization of the
Schubert varieties by an non-negative integer A and a marked Dynkin diagram.
Corollaries include: (1) the variety is smooth if and only if A=0; (2) if G of
Type ADE, then the singular locus occurs in codimension at least three.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga