Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiplicity-free subvarieties of flag varieties   Consider a flag variety $Fl$ over an algebraically closed field, and a
subvariety $V$ whose cycle class is a multiplicity-free sum of Schubert cycles.
We show that $V$ is arithmetically normal and Cohen-Macaulay, in the projective
embedding given by any ample invertible sheaf on $Fl$.

16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an