Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convex polytopes and linear algebra   This paper defines, for each convex polytope $\Delta$, a family $H_w\Delta$
of vector spaces. The definition uses a combination of linear algebra and
combinatorics. When what is called exact calculation holds, the dimension
$h_w\Delta$ of $H_w\Delta$ is a linear function of the flag vector $f\Delta$.
It is expected that the $H_w\Delta$ are examples, for toric varieties, of the
new topological invariants introduced by the author in "Local-global
intersection homolog" (preprint alg-geom/9709011).

30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph