English

Primitive Lie algebras of rational vector fields

Algebraic Geometry 2022-10-18 v3

Abstract

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).

Keywords

Cite

@article{arxiv.2007.12376,
  title  = {Primitive Lie algebras of rational vector fields},
  author = {Guy Casale and Frank Loray and Jorge Vitório Pereira and Frédéric Touzet},
  journal= {arXiv preprint arXiv:2007.12376},
  year   = {2022}
}
R2 v1 2026-06-23T17:22:09.793Z