Normal crossing singularities and Hodge theory over Artin rings
Algebraic Geometry
2012-05-01 v1
Abstract
We develop a Hodge theory for relative simple normal crossing varieties over an Artinian base scheme. We introduce the notion of a mixed Hodge structure over an Artin ring, which axiomatizes the structure that is found on the cohomology of such a variety. As an application we prove that the maps between the graded pieces of the Hodge bundles have constant rank.
Keywords
Cite
@article{arxiv.1204.6661,
title = {Normal crossing singularities and Hodge theory over Artin rings},
author = {Christian Lehn},
journal= {arXiv preprint arXiv:1204.6661},
year = {2012}
}
Comments
26 pages. arXiv admin note: substantial text overlap with arXiv:1112.1887