Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Morelli type expression of cohomology classes of toric varieties   Let $X$ be a complete $\Q$-factorial toric variety of dimension $n$ and
$\del$ the fan in a lattice $N$ associated to $X$. For each cone $\sigma$ of
$\del$ there corresponds an orbit closure $V(\sigma)$ of the action of complex
torus on $X$. The homology classes $\{[V(\sigma)]\mid \dim \sigma=k\}$ form a
set of specified generators of $H_{n-k}(X,\Q)$. It is shown that, given
$\alpha\in H_{n-k}(X,\Q)$, there is a canonical way to express $\alpha$ as a
linear combination of the $[V(\sigma)]$ with coefficients in the field of
rational functions of degree $0$ on the Grassmann manifold of $(n-k+1)$-planes
in $N_\Q$. This generalizes Morelli's formula for $\alpha$ the $(n-k)$-th
component of the Todd homology class of the variety $X$.

20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics