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We show the existence of Bridgeland stability conditions on all Fano threefolds, by proving a modified version of a conjecture by Bayer, Toda, and the second author. The key technical ingredient is a strong Bogomolov inequality, proved recently by Chunyi Li. Additionally, we prove the original conjecture for some toric threefolds by using the toric Frobenius morphism.
Source : ScholeXplorer
IsRelatedTo ARXIV math/0212237 Source : ScholeXplorer IsRelatedTo DOI 10.4007/annals.2007.166.317 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.math/0212237
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