English

On the density of foliations without algebraic solutions on weighted projective planes

Algebraic Geometry 2021-06-24 v1

Abstract

We prove that a generic holomorphic foliation on a weighted projective plane has no algebraic solutions when the degree is big enough. We also prove an analogous result for foliations on Hirzebruch surfaces.

Keywords

Cite

@article{arxiv.2106.12494,
  title  = {On the density of foliations without algebraic solutions on weighted projective planes},
  author = {Ruben Lizarbe},
  journal= {arXiv preprint arXiv:2106.12494},
  year   = {2021}
}

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17 pages