PRIMITIVE LIE ALGEBRAS OF RATIONAL VECTOR FIELDS

Guy Casale (1) , Frank Loray (1) , Jorge Vitório Pereira (2) , Frédéric Touzet (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 IMPA - Instituto Nacional de Matemática Pura e Aplicada

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 which maps g to lie(G).

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Guy Casale, Frank Loray, Jorge Vitório Pereira, Frédéric Touzet. PRIMITIVE LIE ALGEBRAS OF RATIONAL VECTOR FIELDS. 2020. ⟨hal-02905573v1⟩