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 ThreefoldsArticle

Authors: Marcello Bernardara ; Emanuele Macrì ORCID; Benjamin Schmidt ; Xiaolei Zhao ORCID

    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.

    Comment: 24 pages, 1 figure. Fifth version: Official version of the journal

    https://doi.org/10.46298/epiga.2017.volume1.2008
    Source: arXiv.org:1607.08199
    Volume: Volume 1
    Published on: September 1, 2017
    Accepted on: March 23, 2017
    Submitted on: April 7, 2017
    Keywords: Mathematics - Algebraic Geometry, 14F05 (Primary), 14J30, 18E30 (Secondary)
    Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
    Funding:
      Source : OpenAIRE Graph
    • Funder: French National Research Agency (ANR); Code: ANR-11-IDEX-0002
    • Sheaves on higher dimensional varieties; Funder: National Science Foundation; Code: 1523496
    • Sheaves on higher dimensional varieties; Funder: French National Research Agency (ANR); Code: ANR-11-LABX-0040

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