The Borel-Serre Compactification for the Classifying Space of Hodge Structures
Algebraic Geometry
2014-03-21 v3
Abstract
A 1-parameter variation of Hodge structures corresponds to a holomorphic, horizontal, locally liftable map into a classifying space of Hodge structures. In this paper it is shown that such a map has a limit in the reductive Borel-Serre compactification of the classifying space. The boundary component in which the limit lies is a union over possible polarizations of classifying spaces of Hodge structures on the primitive parts. It is discussed which boundary components can contain such limit points.
Cite
@article{arxiv.math/0509319,
title = {The Borel-Serre Compactification for the Classifying Space of Hodge Structures},
author = {John Scherk},
journal= {arXiv preprint arXiv:math/0509319},
year = {2014}
}
Comments
This paper has been withdrawn by the author. Errors in article