Year: 2026
Type: preprint
Abstract: We show that if $Π\subseteq G/P$ is a projected Richardson variety, then the degree map $\mathrm{Pic}(Π) \to A_1(Π)^\vee$ is injective. Moreover, it is an isomorphism in characteristic zero and in all but finitely many positive characteristics. We conjecture that it is an isomorphism in every characteristic. Our proofs are geometric, using a linear paving, topological properties of klt singularities, and reduction to characteristic zero.
Source: arXiv (Cornell University)
Authors: Anderson, David, Payne, Sam
Institutions: The Ohio State University, University of Michigan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W7221756332