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

Ruben Lizarbe

Mathematische Nachrichten, 2023, vol. 296, issue 9, 3877-3891

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.

Date: 2023
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