Limiting mixed Hodge structures on the relative log de Rham cohomology groups of a projective semistable log smooth degeneration
arXiv:2011.00926
Abstract
We prove that the relative log de Rham cohomology groups of a projective semistable log smooth degeneration admit a natural \textit{limiting} mixed Hodge structure. More precisely, we construct a family of increasing filtrations and a family of nilpotent endomorphisms on the relative log de Rham cohomology groups and show that they satisfy a part of good properties of a nilpotnet orbit in several variables.
46 pages, v2: minor changes