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Vector fields on the total space of hypersurfaces in the projective space and hyperbolicity

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Abstract

The results we obtain in this article concern the hyperbolicity of very generic hypersurfaces in the 3-dimensional projective space: we show that the Kobayashi conjecture is true in this setting, as long as the degree of the hypersurface is greater than 18.

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  1. Institut Élie Cartan, Université Henri Poincaré, Nancy 1, BP 239, 54506, Vandoeuvre-lès-Nancy Cedex, France

    Mihai Păun

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  1. Mihai Păun
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Correspondence to Mihai Păun.

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Păun, M. Vector fields on the total space of hypersurfaces in the projective space and hyperbolicity. Math. Ann. 340, 875–892 (2008). https://doi.org/10.1007/s00208-007-0172-5

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  • DOI: https://doi.org/10.1007/s00208-007-0172-5

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