4 papers
The intersection cohomology Hodge module of toric varieties
Hyunsuk Kim, Sridhar Venkatesh
We study the Hodge filtration of the intersection cohomology Hodge module for toric varieties. More precisely, we study the cohomology sheaves of the graded de Rham complex of the…
Trace for the Du Bois complex
Hyunsuk Kim
We construct some version of the trace morphism between the Du Bois complexes, with applications towards the behavior of the local cohomological dimension and some Hodge theoretic…
Local cohomology and singular cohomology of toric varieties via mixed Hodge modules
Hyunsuk Kim, Sridhar Venkatesh
Given an affine toric variety embedded in a smooth variety, we prove a general result about the mixed Hodge module structure on the local cohomology sheaves of . As a conseq…
Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties
Hyunsuk Kim, Sridhar Venkatesh
Given a proper toric variety and a line bundle on it, we describe the morphism on singular cohomology given by the cup product with the Chern class of that line bundle in terms of…