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math.AG2023
Correspondences in log Hodge cohomology
Charles Godfrey
We construct correspondences in logarithmic Hodge theory over a perfect field of arbitrary characteristic. These are represented by classes in the cohomology of sheaves of differen…
math.AG2022
Pure subrings of Du Bois singularities are Du Bois singularities
Charles Godfrey, Takumi Murayama
Let be a cyclically pure map of Noetherian -algebras. In this paper, we show that if has Du Bois singularities, then has Du Bois singularities. Our re…
math.AG2022
Higher direct images of snc ideal sheaves
Charles Godfrey
We prove invariance results for the cohomology groups of ideal sheaves of simple normal crossing divisors under (a restricted class of) birational morphisms of pairs in arbitrary c…