Marcello Bernardara ; Emanuele Macrì ; Benjamin Schmidt ; Xiaolei Zhao - Bridgeland Stability Conditions on Fano Threefolds

epiga:2008 - Épijournal de Géométrie Algébrique, September 1, 2017, Volume 1 - https://doi.org/10.46298/epiga.2017.volume1.2008
Bridgeland Stability Conditions on Fano Threefolds

Authors: Marcello Bernardara ; Emanuele Macrì ORCID-iD; 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.


    Volume: Volume 1
    Published on: September 1, 2017
    Accepted on: April 7, 2017
    Submitted on: April 7, 2017
    Keywords: Mathematics - Algebraic Geometry,14F05 (Primary), 14J30, 18E30 (Secondary)
    Fundings :
      Source : OpenAIRE Research Graph
    • Sheaves on higher dimensional varieties; Funder: National Science Foundation; Code: 1523496

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