Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: GIT quotients of products of projective spaces   The aim of this work is to study the quotients for the diagonal action of
SL_3(C) on the product of n-fold of \mathbb{P}^2(C): we are interested in
describing how the quotient changes when we vary the polarization (i.e. the
choice of an ample linearized line bundle). We illustrate the different
techniques for the construction of a quotient, in particular the numerical
criterion for semi-stability and the ``elementary transformations'' which are
resolutions of precisely described singularities (case n=6).

1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con