Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomology of flag supervarieties and resolutions of determinantal
  ideals   We study the coherent cohomology of generalized flag supervarieties. Our main
observation is that these groups are closely related to the free resolutions of
(certain generalizations of) determinantal ideals. In the case of super
Grassmannians, we completely compute the cohomology of the structure sheaf: it
is composed of the singular cohomology of a Grassmannian and the syzygies of a
determinantal variety. The majority of the work involves studying the geometry
of an analog of the Grothendieck-Springer resolution associated to the super
Grassmannian; this takes place in the world of ordinary (non-super) algebraic
geometry. Our work gives a conceptual explanation of the result of
Pragacz-Weyman that the syzygies of determinantal ideals admit an action of the
general linear supergroup. In a subsequent paper, we will treat other flag
supervarieties in detail.

20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg