Abstract
We give an upper bound of the degree of quasi-smooth hypersurfaces which are invariant by a one dimensional holomorphic foliation on a weighted projective space. This bound depends only on the degree of the foliation and the weights of the space.
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Acknowledgments
we would like to thank the referee by the suggestions, comments and improvements to the exposition. The second author was partially supported by CAPES, CNPq, FAPEMIG and FAPESP grant 2015/20841-5.
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Martínez, F.E.B., Corrêa, M. & Rodríguez, A.M. Poincaré problem for weighted projective foliations. Bull Braz Math Soc, New Series 48, 219–235 (2017). https://doi.org/10.1007/s00574-016-0003-y
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DOI: https://doi.org/10.1007/s00574-016-0003-y