Asian Journal of Mathematics
Volume 19 (2015)
Normal crossing singularities and Hodge theory over Artin rings
Pages: 235 – 250
We introduce the notion of a mixed Hodge structure over an Artin ring, thereby establishing a framework for applying Hodge theoretic arguments to deformation problems. Examples arise from relative simple normal crossing varieties over Artinian base schemes. As an application we prove that the maps between graded pieces of Hodge bundles have constant rank.
deformations, local triviality, Hodge theory, normal crossings
2010 Mathematics Subject Classification
13D10, 14C30, 32S35