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On the Poincare Problem for Foliations of General Type

Jorge Vitorio Pereira
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Abstract

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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Jorge Vitorio Pereira. 2001-04-18. On the Poincare Problem for Foliations of General Type. https://doi.org/10.1007/s002080100277

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