Bridgeland stability conditions on some higher-dimensional Calabi--Yau manifolds and generalized Kummer varieties

2025/10/25 by Cheng, Yiran · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.22432

Abstract

We construct Bridgeland stability conditions on the the following hyper-Kähler or strict Calabi--Yau manifolds: - Generalized Kummer varieties associated to an abelian surface that is isogenous to a product of elliptic curves. - Universal covers of Hilbert schemes of some Enriques surfaces; this provides examples of stability conditions on strict Calabi--Yau manifolds in each even dimension. - Albanese fibers of some finite étale covering of Hilbert schemes of some bielliptic surfaces; this provides examples of stability conditions on strict Calabi-Yau manifolds in each odd dimension. - Cynk--Hulek Calabi--Yau manifolds with an automorphism of order 2 or 3.

Citations

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• Constant families of t-structures on derived categories of coherent sheaves
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Cited by

• Stability conditions on products of curves and Hilbert schemes of surfaces

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• Stability conditions on some families of Calabi-Yau threefolds via orbifolding
• Bridgeland stability conditions on twisted Kummer surfaces
• Some remarks on Bridgeland stability conditions on K3 and Enriques surfaces
• Higher dimensional Calabi-Yau manifolds of Kummer type
• Weight functions, tilts, and stability conditions