AAG Seminar: Construction and homology of short virtual resolutions
Speaker: Lauren Cranton Heller, University of Nebraska-Lincoln
Abstract: In 2023 several groups of researchers independently proved that all sheaves on a smooth projective toric variety X have short virtual resolutions, meaning resolutions in terms of line bundles of length at most dim X. I will discuss explicit constructions of such resolutions and their implication on the difference between categories of sheaves on X and categories of multigraded modules over its total coordinate ring.
Host: Wanlin Li