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

2021/06/23 by Lizarbe, Ruben
#37F75 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2106.12494

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.

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