3 citations · 5 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
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…
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…
Hyperbolic jigsaws and families of pseudomodular groups II
Beicheng Lou, Ser Peow Tan, Anh Duc Vo
In our previous paper, we introduced a hyperbolic jigsaw construction and constructed infinitely many non-commensurable, non-uniform, non-arithmetic lattices of $\mathrm{PSL}(2, \m…
Hyperbolic jigsaws and families of pseudomodular groups I
Beicheng Lou, Ser Peow Tan, Anh Duc Vo
We show that there are infinitely many commensurability classes of pseudomodular groups, thus answering a question raised by Long and Reid. These are Fuchsian groups whose cusp set…