Wanchun Shen

activity

20182026

most citedOn

k

-Du Bois and

k

-rational singularities

2 citations · 2 across the 6 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.AG2026

$K$ -regularity for finite quotient singularities

Matthew Satriano, Wanchun Shen

We study $K$ -regularity for complex varieties with finite quotient singularities. We prove that for such varieties, $K_{1}$ -regularity is equivalent to smoothness whenever the singul…

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…

K-regularity for finite quotient singularities

Local vanishing for toric varieties

On k-Du Bois and k-rational singularities

$K$ -regularity for finite quotient singularities

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