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Marcello Bernardara ; Emanuele Macrì ; Benjamin Schmidt ; Xiaolei Zhao - Bridgeland Stability Conditions on Fano Threefolds
epiga:2008 - Épijournal de Géométrie Algébrique, 1 septembre 2017, Volume 1 - https://doi.org/10.46298/epiga.2017.volume1.2008Bridgeland Stability Conditions on Fano ThreefoldsArticle
Auteurs : Marcello Bernardara ; Emanuele Macrì 
; Benjamin Schmidt ; Xiaolei Zhao
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 : arXiv.org:1607.08199
Volume : Volume 1
Publié le : 1 septembre 2017
Accepté le : 23 mars 2017
Soumis le : 7 avril 2017
Mots-clés : Mathematics - Algebraic Geometry,14F05 (Primary), 14J30, 18E30 (Secondary)
Financement :
- Source : OpenAIRE Graph
- Financeur: French National Research Agency (ANR); Code: ANR-11-IDEX-0002
- Sheaves on higher dimensional varieties; Financeur: National Science Foundation; Code: 1523496
- Sheaves on higher dimensional varieties; Financeur: French National Research Agency (ANR); Code: ANR-11-LABX-0040
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