Existence of the Shafarevich morphism for semisimple local systems on quasi-projective varieties

Autor:	Brunebarbe, Yohan
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	Let X be a normal connected complex algebraic variety equipped with a semisimple complex representation of its fundamental group. Then, under a maximality assumption, we prove that the covering space of X associated to the kernel of the representation has a proper surjective holomorphic map with connected fibres onto a normal analytic space with no positive-dimensional compact analytic subspace.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.09741 Zobrazit plný text záznamu View this record from Arxiv