Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized parabolic structures over smooth curves with many components
  and principal bundles over reducible nodal curves   Let $Y_{1},\dots,Y_{l}$ be smooth irreducible projective curves and let $Y$
be its disjoint union. Given a semisimple reductive algebraic group $G$ and a
faithful representation $\rho:G\hookrightarrow \textrm{SL}(V)$ we construct a
projective moduli space of $(\underline{\kappa},\delta)$-(semi)stable singular
principal $G$-bundles with generalized parabolic structure of type
$\underline{e}$. In case $Y$ is the normalization of a connected and reducible
projective nodal curve $X$, there is a closed subscheme coarsely representing
the subfunctor corresponding to descending bundles. We prove that the descent
operation induces a birational, surjective and proper morphism onto the
schematic closure of the space of $\delta$-stable singular principal
$G$-bundles whose associated torsion free sheaf is of local type
$\underline{e}$.

9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol