A Vanishing Theorem for Varieties with Finitely Many Solvable Group Orbits
Algebraic Geometry
2024-03-13 v2 Algebraic Topology
Abstract
We reprove and generalize the result that the intersection cohomology groups of a toric variety with coefficient in a nontrivial rank one local system vanish. We prove a similar vanishing result for a certain class of varieties on which a connected linear solvable group acts, including all spherical varieties.
Cite
@article{arxiv.2302.06027,
title = {A Vanishing Theorem for Varieties with Finitely Many Solvable Group Orbits},
author = {Yiyu Wang},
journal= {arXiv preprint arXiv:2302.06027},
year = {2024}
}