Affiliation:
1. UERJ Universidade do Estado do Rio de Janeiro Rua São Francisco Xavier, Maracanã Rio de Janeiro Brazil
Abstract
AbstractWe 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.
Reference16 articles.
1. An Introduction to Diophantine Equations
2. Intersection theory on abelian‐quotient v‐surfaces and q‐resolutions;Bartolo E. A.;J. Singul.,2014
3. Birational Geometry of Foliations