Stability Conditions and Kleinian Singularities

DOI10.1093/IMRN/RNP081zbMATH Open1228.14012arXivmath/0508257OpenAlexW3105193967MaRDI QIDQ3643309

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Publication date: 11 November 2009

Published in: (Search for Journal in Brave)

Abstract: We describe the spaces of stability conditions on certain triangulated categories associated to Dynkin diagrams. These categories can be defined either algebraically via module categories of preprojective algebras, or geometrically via coherent sheaves on resolutions of Kleinian singularities. The resulting spaces are related to regular subsets of the corresponding complexified Cartan algebras.

Full work available at URL: https://arxiv.org/abs/math/0508257

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