Stability conditions on fibred threefolds
Algebraic Geometry
2022-06-22 v2
Abstract
We give a conjectural construction of Bridgeland stability conditions on the derived category of fibred threefolds. The construction depends on a conjectural Bogomolov-Gieseker type inequality for certain stable complexes. It can be considered as a relative version of the construction of Bayer, Macr\`i and Toda. We prove the conjectural Bogomolov-Gieseker type inequality in the case of relative projective planes over curves. This gives the the existence of Bridgeland stability conditions on such threefolds.
Cite
@article{arxiv.2201.13251,
title = {Stability conditions on fibred threefolds},
author = {Hao Max Sun},
journal= {arXiv preprint arXiv:2201.13251},
year = {2022}
}
Comments
typos corrected