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A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold

arXiv:1309.4265 · doi:10.1112/blms/bdu048

Abstract

We prove a generalized Bogomolov-Gieseker inequality as conjectured by Bayer, Macrì and Toda for the smooth quadric threefold. This implies the existence of a family of Bridgeland stability conditions.

v1: 10 pages. v2: Updated references. v3: 11 pages. Several minor corrections. Accepted for publication in "Bulletin of the London Mathematical Society"