Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some observations on Karoubian complete strongly exceptional posets on
  the projective homogeneous varieties   Let $\cP=G/P$ be a homogeneous projective variety with $G$ a reductive group
and $P$ a parabolic subgroup. In positive characteristic we exhibit for $G$ of
low rank a Karoubian complete strongly exceptional poset of locally free
sheaves appearing in the Frobenius direct image of the structure sheaf of
$G/P$. These sheaves are all defined over $\bbZ$, so by base change provide a
Karoubian complete strongly exceptional poset on $\cP$ over $\bbC$, adding to
the list of classical results by Beilinson and Kapranov on the Grassmannians
and the quadrics over $\bbC$.

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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
1
The categories of this paper are: cs
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The categories of this paper are: plasm-ph