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 improve the derived version of the Torelli Theorem for the latter surfaces already present in the litterature. We also study the relationship between stability conditions on projective spaces and those on their canonical bundles.

Inducing stability conditions / E. Macrì, S. Mehrotra, P. Stellari. - In: JOURNAL OF ALGEBRAIC GEOMETRY. - ISSN 1056-3911. - 18:4(2009), pp. 605-649.

Inducing stability conditions

P. Stellari
Ultimo
2009

Abstract

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 improve the derived version of the Torelli Theorem for the latter surfaces already present in the litterature. We also study the relationship between stability conditions on projective spaces and those on their canonical bundles.
Settore MAT/03 - Geometria
2009
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/140594
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