Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Invariant Branches of Non-degenerate Foliations on Projective
  Toric Surfaces   We show that the isolated invariant branches globalize to algebraic curves,
when we consider weak toric type complex hyperbolic foliations on projective
toric ambient surfaces. To do it, we pass through a characterization of weak
toric type foliations in terms of "non-degeneracy" conditions, associated to
Newton polygons. We also give a description of the relationship between
invariant algebraic curves and isolated invariant branches, valid for the case
of toric type, by means of the following dichotomy. Either there is a rational
first integral and there are no isolated invariant branches or we have only
finitely many global invariant curves, all of them extending isolated invariant
branches.

26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat