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arxiv: 1309.4265 · v3 · pith:SKEJSKW5new · submitted 2013-09-17 · 🧮 math.AG

A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold

classification 🧮 math.AG
keywords bogomolov-giesekergeneralizedinequalityquadricsmooththreefoldbayerbridgeland
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We prove a generalized Bogomolov-Gieseker inequality as conjectured by Bayer, Macr\`i and Toda for the smooth quadric threefold. This implies the existence of a family of Bridgeland stability conditions.

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