Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The quotient map on the equivariant Grothendieck ring of varieties   For a scheme S with a good action of a finite abelian group G having enough
roots of unity we show that the quotient map on the G-equivariant Grothendieck
ring of varieties over S is well defined with image in the Grothendieck ring of
varieties over S/G in the tame case, and in the modified Grothendieck ring in
the wild case. To prove this we use a result on the class of the quotient of a
vector space by a quasi-linear action in the Grothendieck ring of varieties due
to Esnault and Viehweg, which we also generalize to the case of wild actions.
As an application we deduce that the quotient of the motivic nearby fiber is a
well defined invariant.

23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio