Stability manifolds of varieties with finite Albanese morphisms
Algebraic Geometry
2022-01-24 v2
Abstract
For a smooth projective complex variety whose Albanese morphism is finite, we show that every Bridgeland stability condition on its bounded derived category of coherent sheaves is geometric, in the sense that all skyscraper sheaves are stable with the same phase. Furthermore, we describe the stability manifolds of irregular surfaces and abelian threefolds with Picard rank one, and show that they are connected and contractible.
Keywords
Cite
@article{arxiv.2103.07728,
title = {Stability manifolds of varieties with finite Albanese morphisms},
author = {Lie Fu and Chunyi Li and Xiaolei Zhao},
journal= {arXiv preprint arXiv:2103.07728},
year = {2022}
}
Comments
Final version, to appear in Transactions of the AMS. Comments are still welcome