On the Poincar\'e problem for foliations on compact toric orbifolds

Autor:	Peña, Miguel Rodríguez
Rok vydání:	2019
Předmět:	Mathematics - Complex Variables Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We give an optimal upper bound of the degree of quasi-smooth hypersurfaces which are invariant by a one-dimensional holomorphic foliation on a compact toric orbifold, i.e. on a complete simplicial toric variety. This bound depends only on the degree of the foliation and of the degrees of the toric homogeneous coordinates. Comment: Accepted in Geometriae Dedicata
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1904.12229 Zobrazit plný text záznamu View this record from Arxiv