Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Standard monomial theory and toric degenerations of Richardson varieties
  in flag varieties   We study standard monomial bases for Richardson varieties inside the flag
variety. In general, writing down a standard monomial basis for a Richardson
variety can be challenging, as it involves computing so-called defining chains
or key tableaux. However, for a certain family of Richardson varieties, indexed
by compatible permutations, we provide a very direct and straightforward
combinatorial rule for writing down a standard monomial basis. We apply this
result to the study of toric degenerations of Richardson varieties. In
particular, we provide a new family of toric degenerations of Richardson
varieties inside flag varieties.

17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th