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arXiv · 1607.08199

Bridgeland Stability Conditions on Fano Threefolds

Marcello Bernardara·Emanuele Macrì·Benjamin Schmidt·Xiaolei Zhao
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Abstract

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.

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Marcello Bernardara, Emanuele Macrì, Benjamin Schmidt, Xiaolei Zhao. 2016-07-27. Bridgeland Stability Conditions on Fano Threefolds. https://doi.org/10.46298/epiga.2017.volume1.2008

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