The Space of Stability Conditions on the Projective Plane
Algebraic Geometry
2016-11-08 v1
Abstract
The space of Bridgeland stability conditions on the bounded derived category of coherent sheaves on P2 has a principle connected component Stab^\dag(P2). We show that Stab^\dag(P2) is the union of geometric and algebraic stability conditions. As a consequence, we give a cell decomposition for Stab^\dag (P2) and show that Stab^\dag(P2) is contractible.
Keywords
Cite
@article{arxiv.1611.02087,
title = {The Space of Stability Conditions on the Projective Plane},
author = {Chunyi Li},
journal= {arXiv preprint arXiv:1611.02087},
year = {2016}
}
Comments
19 pages, comments are very welcome