Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Chow ring of the classifying stack of algebraic tori   We investigate the structure of the Chow ring of the classifying stacks $BT$
of algebraic tori, as it has been defined by B. Totaro. Some previous work of
N. Karpenko, A. Merkurjev, S. Blinstein and F. Scavia has shed some light on
the structure of such rings. In particular Karpenko showed the absence of
torsion classes in the case of permutation tori, while Merkurjev and Blinstein
described in a very effective way the second Chow group $A^2(BT)$ in the
general case. Building on this work, Scavia exhibited an example where
$A^2(BT)_\text{tors}\neq 0$. Here, by making use of a very elementary approach,
we extend the result of Karpenko to special tori and we completely determine
the Chow ring $A^*(BT)$ when $T$ is an algebraic torus admitting a resolution
with special tori $0\rightarrow T\rightarrow Q\rightarrow P$. In particular we
show that there can be torsion in the Chow ring of such tori.

25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
1
The categories of this paper are: cs
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat