Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Models of curves over DVRs   Let C be a smooth projective curve over a discretely valued field K, defined
by an affine equation f(x,y)=0. We construct a model of C over the ring of
integers of K using a toroidal embedding associated to the Newton polygon of f.
We show that under 'generic' conditions it is regular with normal crossings,
and determine when it is minimal, the global sections of its relative dualising
sheaf, and the tame part of the first etale cohomology of C.

4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys