Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Smooth Models   We determine the central simple algebras D over a functionfield K of
trancendence degree two which admit a model of smooth Cayley-Hamilton algebras.
This happens if and only if there is a smooth model S of K such that the
ramification divisor of a maximal S-order in D is a disjoint union of smooth
curves. Further, we prove that the Brauer-Severi fibration of smooth models
which are in addition maximal orders is a flat morphism and determine the
number of irreducible components of the fibers.

36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs