Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A hierarchy of parametrizing varieties for representations   The primary purpose is to introduce and explore projective varieties,
$\text{GRASS}_{\bf d}(\Lambda)$, parametrizing the full collection of those
modules over a finite dimensional algebra $\Lambda$ which have dimension vector
$\bf d$. These varieties extend the smaller varieties previously studied by the
author; namely, the projective varieties encoding those modules with dimension
vector $\bf d$ which, in addition, have a preassigned top or radical layering.
Each of the $\text{GRASS}_{\bf d}(\Lambda)$ is again partitioned by the action
of a linear algebraic group, and covered by certain
representation-theoretically defined affine subvarieties which are stable under
the unipotent radical of the acting group. A special case of the pertinent
theorem served as a cornerstone in the work on generic representations by
Babson, Thomas, and the author. Moreover, applications are given to the study
of degenerations.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc