Invariant stability conditions on local ℙ¹× ℙ¹ (after Del Monte-Longhi)

2024/04/08 by Yirui Xiong, Xiong, Yirui
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Quantum chaos and dynamical systems #Representation Theory (math.RT) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2404.05232

openalex publication_date 2024/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be the total space of canonical bundle of \pp, we study an invariant subspace of stability conditions on X under an autoequivalence of D^b(X). We describe the complete set of stable objects with respect to the invariant stability conditions and characterize the space of invariant stability conditions.

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