Shafarevich mappings and period mappings

Griffiths, Phillip; Green, Mark; Katzarkov, Ludmil

Shafarevich mappings and period mappings

Author(s)

Griffiths, Phillip

Green, Mark

Katzarkov, Ludmil

URI

https://hdl.handle.net/20.500.12111/8041

Abstract

We shall show that a smooth, quasi-projective variety X has a holomorphically convex universal covering eX when (i) 1(X) is residually nilpotent and (ii) there is an admissable variation of mixed Hodge structure over X whose monodromy representation has a nite kernel, and where in each case a corresponding period mapping is assumed to be proper.

Subjects

period mapping

Shafarevich mapping

mixed Hodge structure

Description

I. Introduction and statements of results II. The nilpotent case III. The variation of Hodge structure and mixed Hodge structure cases IV. Further directions

File(s)