Foliations and webs inducing Galois coverings
We introduce the notion of Galois holomorphic foliation on the complex projective space as that of foliations whose Gauss map is a Galois covering when restricted to an appropriate Zariski open subset. First, we establish general criteria assuring that a rational map between projective manifolds of the same dimension defines a Galois covering. Then, these criteria are used to give a geometric characterization of Galois foliations in terms of their inflection divisor and their singularities. We also characterize Galois foliations on ℙ2
admitting continuous symmetries, obtaining a complete classification of Galois homogeneous foliations.
A. Beltrán;
M. Falla;
D. Marín;
Nicolau, Marcel
Año: 2016
Título de la revista: International Mathematics Research Notices
Volumen: 2016
Número: 12
Página inicial - Página final: 3768–3827
ISSN: ISSN 1073-7928, Electronic ISSN 1687-0247
Url: https://academic.oup.com/imrn/article/2016/12/3768/2451653