Bridgeland Stability Conditions on Fano Threefolds
Épijournal de Géométrie Algébrique, Tome 1 (2017)
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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.
@article{10_46298_epiga_2017_volume1_2008,
author = {Bernardara, Marcello and Macr{\`\i}, Emanuele and Schmidt, Benjamin and Zhao, Xiaolei},
title = {Bridgeland {Stability} {Conditions} on {Fano} {Threefolds}},
journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
publisher = {mathdoc},
volume = {1},
year = {2017},
doi = {10.46298/epiga.2017.volume1.2008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2017.volume1.2008/}
}
TY - JOUR AU - Bernardara, Marcello AU - Macrì, Emanuele AU - Schmidt, Benjamin AU - Zhao, Xiaolei TI - Bridgeland Stability Conditions on Fano Threefolds JO - Épijournal de Géométrie Algébrique PY - 2017 VL - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.46298/epiga.2017.volume1.2008/ DO - 10.46298/epiga.2017.volume1.2008 LA - en ID - 10_46298_epiga_2017_volume1_2008 ER -
%0 Journal Article %A Bernardara, Marcello %A Macrì, Emanuele %A Schmidt, Benjamin %A Zhao, Xiaolei %T Bridgeland Stability Conditions on Fano Threefolds %J Épijournal de Géométrie Algébrique %D 2017 %V 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.46298/epiga.2017.volume1.2008/ %R 10.46298/epiga.2017.volume1.2008 %G en %F 10_46298_epiga_2017_volume1_2008
Bernardara, Marcello; Macrì, Emanuele; Schmidt, Benjamin; Zhao, Xiaolei. Bridgeland Stability Conditions on Fano Threefolds. Épijournal de Géométrie Algébrique, Tome 1 (2017). doi: 10.46298/epiga.2017.volume1.2008
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