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math.AG2023
Local vanishing for toric varieties
Wanchun Shen, Sridhar Venkatesh, Anh Duc Vo
Let be a toric variety. We establish vanishing (and non-vanishing) results for the sheaves , where is a strong log resolution…
math.AG2023★ 2 cited
On -Du Bois and -rational singularities
Wanchun Shen, Sridhar Venkatesh, Anh Duc Vo
We introduce new notions of -Du Bois and -rational singularities, extending the previous definitions in the case of local complete intersections (lci), to include natural exa…
math.AG2023
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…