Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Poincare Problem for Foliations of General Type   Let F be a holomorphic foliation of general type on CP(2) which admits a
rational first integral. We provide bounds for the degree of the first integral
of F just in function of the degree, the birational invariants of F and the
geometric genus of a generic leaf. Similar bounds for invariant algebraic
curves are also obtained and examples are given showing the necessity of the
hypothesis.

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The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga