3 papers
math.AG2025
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…
math.AG2024
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…
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…