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arXiv · 2302.06027

A Vanishing Theorem for Varieties with Finitely Many Solvable Group Orbits

Yiyu Wang
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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.

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Yiyu Wang. 2023-02-12. A Vanishing Theorem for Varieties with Finitely Many Solvable Group Orbits. https://doi.org/10.1112/blms.13017

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