Year: 2026
Type: preprint
Abstract: We prove that KSB-stable varieties introduced by Kollár and Shepherd-Barron as a generalization of Deligne-Mumford's stable curves are stable in the sense of geometric invariant theory (GIT). More precisely, we show that KSB-stable varieties are asymptotically GIT-stable with respect to a sequence of linearizations defined by the Hodge bundle.
Source: arXiv (Cornell University)
Authors: Kovács, Sándor J, Taji, Behrouz
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224849120