Journal of Singularities
volume 8 (2014), 146-193
Received: 20 January 2014. Received in revised form: 23 November 2014.
We construct polarizations of mixed Hodge structures on the relative log de Rham cohomology groups of a projective log deformation. To this end, we study the behavior of weight and Hodge filtrations under the cup product and construct a trace morphism for a projective log deformation.
mixed Hodge structure, log deformation
Mathematical Subject Classification:
Primary 14C30; Secondary 14D07, 32G20, 32S35
Tokyo Denki University