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math.AG2020
Rational Endomorphisms of Codimension One Holomorphic Foliations
Federico Lo Bianco, Jorge Pereira, Erwan Rousseau +1
In this work, we study dominant rational maps preserving singular holomorphic codimension one foliations on projective manifolds and that exhibit non-trivial transverse dynamics.
math.AG2020
Primitive Lie algebras of rational vector fields
Guy Casale, Frank Loray, Jorge Vitório Pereira +1
A transitive Lie algebra g of rational vector fields on a projective manifold which do not preserve any foliation determines a rational map to an algebraic homogenous space G/H whi…