Bridgeland Stability Conditions on Fano Threefolds

By M. Bernardara, Emanuele Macrì, Benjamin Schmidt, Xiaolei Zhao. 2016

58 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b17e5d4f5a4dec9762c6452fbac833040cb2cb1c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Chunyi Li
2. Emanuele Macrì
3. Benjamin Schmidt
4. P. Stellari
5. Arend Bayer
6. Xiaolei Zhao
7. D. Huybrechts
8. M. Bernardara

In Statistical and Nonlinear Physics

1. Chunyi Li
2. Benjamin Schmidt
3. Emanuele Macrì

Citations in the corpus

• On stability conditions for the quintic threefold (2018, methodology): “The mainstream of the argument in 2 © is to follow the technique developed for Fano threefolds as that in [6,18,29].”
• Lectures on Bridgeland Stability (2016, background): “are simply-connected). The latest progress is the proof of the conjecture for all Fano threefolds of Picard rank one in [Li19] and a proofof a modified version for all Fano threefolds independently in [BMSZ17] and [Piy17]. Once stability conditions exist on threefolds, it is interesting to study modu”