A. Vo

activity

20162024

most citedHyperbolic jigsaws and families of pseudomodular groups I

3 citations · 5 across the 7 of their papers we have counts for

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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

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…

math.AG2023

Local vanishing for toric varieties

Wanchun Shen, Sridhar Venkatesh, Anh Duc Vo

Let $X$ be a toric variety. We establish vanishing (and non-vanishing) results for the sheaves $R^{i} f_{*} Ω_{X ~}^{p} (lo g E)$ , where $f : X ~ \to X$ is a strong log resolution…

math.AG2023★ 2 cited

On $k$ -Du Bois and $k$ -rational singularities

Wanchun Shen, Sridhar Venkatesh, Anh Duc Vo

We introduce new notions of $k$ -Du Bois and $k$ -rational singularities, extending the previous definitions in the case of local complete intersections (lci), to include natural exa…