4 papers
math.AG2024
Symmetries and vanishing theorems for symplectic varieties
Benjamin Tighe
We describe the local and Steenbrink vanishing problems for singular symplectic varieties with isolated singularities. We do this by constructing a morphism $$\mathbb D_X(\underlin…
math.AG2024
On an example of Aspinwall, Morrison, and Szendrői
Nicolas Addington, Benjamin Tighe
We study the cohomology of a 1-parameter family Y_t of Calabi-Yau 3-folds introduced by Aspinwall and Morrison, related to the mirror quintic family. Szendrői proved that Y_t, Y_{x…
math.AG2023
The Holomorphic Extension Property for Higher Du Bois Singularities
Benjamin Tighe
Let be a normal complex variety and a resolution of singularities. We show that the inclusion morphism is an iso…
math.AG2022
The LLV Algebra for Primitive Symplectic Varieties with Isolated Singularities
Benjamin Tighe
We extend results of Looijenga--Lunts and Verbitsky and show that the total Lie algebra for the intersection cohomology of a primitive symplectic variety with iso…