Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minkowski weights and the Grothendieck group of a toric variety   For a fan $\Delta$, we introduce Grothendieck weights as a ring of functions
from $\Delta$ to $\mathbb{Z}$ that form a K-theoretic analogue of Minkowski
weights and describe the operational $K$-theory of a complete toric variety. We
give an explicit balancing condition and product formula for these weights, and
describe relationships with other fan-based invariants. Applications are given
to vector bundles on a toric surface, and to the calculation of Euler
characteristics on schon subvarieties.

9
The categories of this paper are: nlin
19
The categories of this paper are: eess
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat