arXiv Analytics

Sign in

arXiv:math/0411613 [math.AG]AbstractReferencesReviewsResources

Some examples of spaces of stability conditions on derived categories

Emanuele Macri

Published 2004-11-27, updated 2007-02-19Version 3

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.

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
Categories: math.AG, math.CT
Subjects: 18E30, 14J60, 16G20
Related articles: Most relevant | Search more
arXiv:math/0612800 [math.AG] (Published 2006-12-27)
Some remarks on the derived categories of coherent sheaves on homogeneous spaces
arXiv:math/0206295 [math.AG] (Published 2002-06-27)
Derived categories of coherent sheaves
arXiv:math/0411220 [math.AG] (Published 2004-11-10, updated 2005-03-19)
Stability Manifold of P^1

Links

Toolbox