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2008
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.volume1.2008Bridgeland Stability Conditions on Fano Threefolds
Authors: 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
Published on: September 1, 2017
Accepted on: March 23, 2017
Submitted on: April 7, 2017
Keywords: Mathematics - Algebraic Geometry,14F05 (Primary), 14J30, 18E30 (Secondary)
Funding:
- Source : OpenAIRE Graph
- Sheaves on higher dimensional varieties; Funder: National Science Foundation; Code: 1523496
- Université Fédérale de Toulouse; Funder: French National Research Agency (ANR); Code: ANR-11-IDEX-0002
- Centre International de Mathématiques et d'Informatique (de Toulouse); Funder: French National Research Agency (ANR); Code: ANR-11-LABX-0040
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IsRelatedTo ARXIV math/0212237 Source : ScholeXplorer IsRelatedTo DOI 10.4007/annals.2007.166.317 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.math/0212237
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