Stability conditions on $A_n$-singularities
Algebraic Geometry
2010-04-20 v2 Symplectic Geometry
Abstract
We study the spaces of locally-finite stability conditions on the derived categories of coherent sheaves on the minimal resolutions of -singularities supported at the exceptional sets. Our main theorem is that they are connected and simply-connected. The proof is based on the study of spherical objects in math.AG/0409151 and the homological mirror symmetry for -singularities.
Cite
@article{arxiv.math/0609551,
title = {Stability conditions on $A_n$-singularities},
author = {Akira Ishii and Kazushi Ueda and Hokuto Uehara},
journal= {arXiv preprint arXiv:math/0609551},
year = {2010}
}
Comments
43 pages, 3 figures. v2: many minor changes, published in J. Differential Geom.