English

Polarizations on limiting mixed Hodge structures

Algebraic Geometry 2014-12-24 v2

Abstract

We construct a polarization 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 log deformation.

Keywords

Cite

@article{arxiv.1305.4811,
  title  = {Polarizations on limiting mixed Hodge structures},
  author = {Taro Fujisawa},
  journal= {arXiv preprint arXiv:1305.4811},
  year   = {2014}
}

Comments

47 pages, corrections and improvements

R2 v1 2026-06-22T00:19:46.970Z