Some examples of spaces of stability conditions on derived categories
Algebraic Geometry
2007-05-23 v3 Category Theory
Abstract
We study stability conditions on the derived categories of coherent sheaves on some projective varieties. We give a complete description of the stability manifold for smooth projective curves and we examine a connected open subset of the stability manifold for projective spaces and del Pezzo surfaces.
Keywords
Cite
@article{arxiv.math/0411613,
title = {Some examples of spaces of stability conditions on derived categories},
author = {Emanuele Macri},
journal= {arXiv preprint arXiv:math/0411613},
year = {2007}
}
Comments
16 pages. v2) Exposition improved and lots of minor corrections made. Parts of Section 4 have been rewritten, in particular Theorem 4.12, Corollary 4.13 and Theorem 4.14 of the old version have been changed. v3) title and abstract slightly changed, exposition improved, and details added