Stability conditions on the canonical line bundle of ℙ³

2025/01/25 by Tianle Mao, Mao, Tianle
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometry and complex manifolds #Neurosurgical Procedures and Complications

paper · pdf · doi:10.48550/arxiv.2501.15251

openalex publication_date 2025/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the space of stability conditions on the total space of the canonical line bundle over the three dimensional projective space. We construct a family of geometric stability conditions and some subset of the boudary of them, which are algebraic. We also use spherical twists to construct some other stability conditions.

Related

• Stability Conditions on \mathbb P³
• About the stability of the tangent bundle of Pⁿ restricted to a surface
• Stability conditions and moduli spaces on projective families
• Invariant stability conditions on local ℙ¹× ℙ¹ (after Del Monte-Longhi)
• Stable rank 3 vector bundles on ℙ³ with c₁ = 0, c₂ = 3