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Positive Rational Nodal Leaves in Surfaces

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Abstract

We consider singular holomorphic foliations on compact complex surfaces with invariant rational nodal curve of positive self-intersection. Then, under some assumptions, we list all possible foliations.

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Acknowledgments

The author would like to thanks J. V. Pereira for incentive and valuable conversations.

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Authors and Affiliations

  1. IMPA, Estrada Dona Castorina, 110, Horto, Rio de Janeiro, Brazil

    Edileno de Almeida Santos

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  1. Edileno de Almeida Santos
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Correspondence to Edileno de Almeida Santos.

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The author is supported by CNPq.

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Santos, E.d.A. Positive Rational Nodal Leaves in Surfaces. Bull Braz Math Soc, New Series 48, 237–251 (2017). https://doi.org/10.1007/s00574-016-0011-y

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  • DOI: https://doi.org/10.1007/s00574-016-0011-y

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