Inducing stability conditions
Emanuele Macri, Sukhendu Mehrotra, Paolo Stellari
Number | 25 |
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Author | Emanuele Macrì |
Year | 2007 |
We study stability conditions induced by functors between triangulated categories. Given a finite group acting on a smooth projective variety we prove that the subset of invariant stability conditions embeds as a closed submanifold into the stability manifold of the equivariant derived category. As an application we examine stability conditions on Kummer and Enriques surfaces and we give a derived version of the Torelli Theorem for the latter surfaces. We also study the relationship between stability conditions on projective spaces and those on their canonical bundles.