Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incompressibility of orthogonal Grassmannians of rank 2   For a nondegenerate quadratic form phi on a vector space V of dimension 2n +
1, let X_d be the variety of d-dimensional totally isotropic subspaces of V. We
give a sufficient condition for X_2 to be 2-incompressible, generalizing in a
natural way the known sufficient conditions for X_1 and X_n. Key ingredients in
the proof include the Chernousov-Merkurjev method of motivic decomposition as
well as Pragacz and Ratajski's characterization of the Chow ring of (X_2)_E,
where E is a field extension splitting phi.

31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th