3 papers
math.AG2024
Injectivity and Vanishing for the Du Bois Complexes of Isolated Singularities
Mihnea Popa, Wanchun Shen, Anh Duc Vo
We prove an injectivity theorem for the cohomology of the Du Bois complexes of varieties with isolated singularities. We use this to deduce vanishing statements for the cohomologie…
math.AG2024
Vanishing Theorem for Hodge Ideals on smooth hypersurfaces
Anh Duc Vo
We use a Koszul-type resolution to prove a weak version of Bott's vanishing theorem for smooth hypersurfaces in and use this result to prove a vanishing theorem for…
math.AG2024
Generic Vanishing for Singular Varieties via Du Bois complexes
Anh Duc Vo
We prove appropriate generic vanishing theorems for singular varieties, generalizing the well-known generic vanishing theorem by Green and Lazarsfeld in [GL87] and the generic vani…