A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold

2013/09/30 by Benjamin Schmidt · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #math.AG #msc:14F05 #msc:14J30 #msc:18E30

paper · pdf · doi:10.1112/blms/bdu048

published as Bull. Lond. Math. Soc. 46 (2014), no. 5, 915-923 · v1: 10 pages. v2: Updated references. v3: 11 pages. Several minor corrections. Accepted for publication in "Bulletin of the London Mathematical Society"

arxiv created 2014/05/07 · openalex publication_date 2014/06/24 · arxiv updated 2015/03/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• D-Branes and N=1 Supersymmetry
• Bridgeland Stability conditions on threefolds II: An application to Fujita's conjecture
• Fourier-Mukai Transforms and Bridgeland Stability Conditions on Abelian Threefolds

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