Inducing stability conditions
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Publication:3182064
DOI10.1090/S1056-3911-09-00524-4zbMATH Open1175.14010arXiv0705.3752OpenAlexW2022060727MaRDI QIDQ3182064
Author name not available (Why is that?)
Publication date: 2 October 2009
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/0705.3752
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