Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the K-theory of planar cuspical curves and a new family of polytopes   Let k be a regular F_p-algebra, let A = k[x,y]/(x^b - y^a) be the coordinate
ring of a planar cuspical curve, and let I = (x,y) be the ideal that defines
the cusp point. We give a formula for the relative K-groups K_q(A,I) in terms
of the groups of de Rham-Witt forms of the ring k. At present, the validity of
the formula depends on a conjecture that concerns the combinatorial structure
of a new family of polytopes that we call stunted regular cyclic polytopes. The
polytopes in question appear as the intersections of regular cyclic polytopes
with (certain) linear subspaces. We verify low-dimensional cases of the
conjecture. This leads to unconditional new results on K_2 and K_3 which extend
earlier results by Krusemeyer for K_0 and K_1.

8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org