Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the F-rationality and cohomological properties of matrix Schubert
  varieties   We characterize complete intersection matrix Schubert varieties, generalizing
the classical result on one-sided ladder determinantal varieties. We also give
a new proof of the F-rationality of matrix Schubert varieties. Although it is
known that such varieties are F-regular (hence F-rational) by the global
F-regularity of Schubert varieties, our proof is of independent interest since
it does not require the Bott-Samelson resolution. As a consequence, this
provides an alternative proof of the classical fact that Schubert varieties in
flag varieties are normal and have rational singularities.

8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess