Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Relative Canonical Ideal of the Artin-Schreier-Kummer-Witt family of
  curves   We study the canonical model of the Artin-Schreier-Kummer-Witt flat family of
curves over a ring of mixed characteristic. We first prove the relative version
of a classical theorem by Petri, then use the model proposed by Bertin-M\'ezard
to construct an explicit generating set for the relative canonical ideal. As a
byproduct, we obtain a combinatorial criterion for a set to generate the
canonical ideal, applicable to any curve satisfying the assumptions of Petri's
theorem.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int