Bridgeland Stability Conditions on Fano Threefolds

Abstract

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.

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

Cited by in corpus (2)

• On stability conditions for the quintic threefold
• Stability conditions on product threefolds of projective spaces and Abelian varieties