References & Citations
Mathematics > Algebraic Geometry
Title: Stability conditions and semiorthogonal decompositions I: quasi-convergence
(Submitted on 31 Dec 2023 (v1), last revised 27 Mar 2024 (this version, v2))
Abstract: We develop a framework relating semiorthogonal decompositions of a triangulated category $\mathcal{C}$ to paths in its space of stability conditions. We prove that when $\mathcal{C}$ is the homotopy category of a smooth and proper idempotent complete pre-triangulated dg-category, every semiorthogonal decomposition whose factors admit a Bridgeland stability condition can be obtained from our framework.
Submission history
From: Antonios-Alexandros Robotis [view email][v1] Sun, 31 Dec 2023 22:41:34 GMT (49kb)
[v2] Wed, 27 Mar 2024 04:11:51 GMT (49kb)
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