Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bornes pour la r\'egularit\'e de Castelnuovo-Mumford des sch\'emas non
  lisses   We show that bounds on the Castelnuovo-Mumford regularity of singular
schemes, as a function of the degrees of the equations defining the shceme, of
its dimension and of the dimension of their singular space. In the case where
the singularities are isolated, we improve the bound given by Chardin and
Ulrich, and in the general case we establish a bound doubly exponential in the
dimension of the singular space.
  --
  Nous montrons dans cet article des bornes pour la regularite de
Castelnuovo-Mumford d'un schema admettant des singularites, en fonction des
degres des equations definissant le schema, de sa dimension et de la dimension
de son lieu singulier. Dans le cas ou les singularites sont isolees, nous
ameliorons la borne fournie par Chardin et Ulrich et dans le cas general, nous
etablissons une borne doublement exponentielle en la dimension du lieu
singulier.

8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc