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Kodaira dimension of holomorphic singular foliations

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Abstract

We introduce numerical invariants of holomorphic singular foliations under bimeromorphic transformations of surfaces. The basic invariant is a foliated version of the Kodaira dimension of compact complex manifolds.

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Authors and Affiliations

  1. Laboratoire de Topologie, Université de Bourgogne, B.P. 47870, 21078, Dijon CEDEX, France

    Luís Gustavo Mendes

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  1. Luís Gustavo Mendes
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Additional information

The author was supported by CNPq-Brazil in 1998 and “Conseil Régional de Bourgogne” in 1999.

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Mendes, L.G. Kodaira dimension of holomorphic singular foliations. Bol. Soc. Bras. Mat 31, 127–143 (2000). https://doi.org/10.1007/BF01244239

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  • DOI: https://doi.org/10.1007/BF01244239

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