Some examples of spaces of stability conditions on derived categories

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.

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

References in corpus (2)

• Dirichlet branes, homological mirror symmetry, and stability
• Stability Manifold of P^1

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