Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularit\'es canoniques et actions horosph\'eriques   Let $G$ be a connected reductive linear algebraic group. We consider the
normal $G$-varieties with horospherical orbits. In this short note, we provide
a criterion to determine whether these varieties have at most canonical, log
canonical or terminal singularities in the case where they admit an algebraic
curve as rational quotient. This result seems to be new in the special setting
of torus actions with general orbits of codimension $1$. For the given
$G$-variety $X$, our criterion is expressed in terms of a weight function
$\omega_{X}$ that is constructed from the set of $G$-invariant valuations of
the function field $k(X)$. In the log terminal case, the generating function of
$\omega_{X}$ coincides with the stringy motivic volume of $X$. As an
application, we discuss the case of normal $k^{\star}$-surfaces.

34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an