6 papers
A Looming of phantoms
Kimoi Kemboi, Daniel Krashen, Tianle Liu +6
Following Krah's method, we construct new examples of phantom categories as semiorthogonal components of the derived categories of two types of rational surfaces: the blowup of the…
Local cohomology and singular cohomology of toric varieties via mixed Hodge modules
Hyunsuk Kim, Sridhar Venkatesh
Given an affine toric variety embedded in a smooth variety, we prove a general result about the mixed Hodge module structure on the local cohomology sheaves of . As a conseq…
Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties
Hyunsuk Kim, Sridhar Venkatesh
Given a proper toric variety and a line bundle on it, we describe the morphism on singular cohomology given by the cup product with the Chern class of that line bundle in terms of…
Duality of differential operators and algebraic de Rham cohomology
Caleb Ji, Casimir Kothari, Oliver Li +3
Given a smooth proper morphism , we introduce a certain derived category where morphisms are permitted to be -linear differential operators.…
The intersection cohomology Hodge module of toric varieties
Hyunsuk Kim, Sridhar Venkatesh
We study the Hodge filtration of the intersection cohomology Hodge module for toric varieties. More precisely, we study the cohomology sheaves of the graded de Rham complex of the…
On Lengths of
Fiona Han, Jennifer Kenkel, Daniel Li +2
In this paper, we provide a formula for the vector space dimension of the ring over when all li…