%0 Journal Article
%T Log Hodge groups on a toric Calabi-Yau degeneration
%A Helge Ruddat
%J Mathematics
%D 2009
%I arXiv
%X We give a spectral sequence to compute the logarithmic Hodge groups on a hypersurface type toric log Calabi-Yau space, compute its E_1 term explicitly in terms of tropical degeneration data and Jacobian rings and prove its degeneration at E_2 under mild assumptions. We prove the basechange of the affine Hodge groups and deduce it for the logarithmic Hodge groups in low dimensions. As an application, we prove a mirror symmetry duality in dimension two and four involving the usual Hodge numbers, the stringy Hodge numbers and the affine Hodge numbers.
%U http://arxiv.org/abs/0906.4809v3