Some remarks on Bridgeland stability conditions on K3 and Enriques surfaces

2016/07/18 by Kōta Yoshioka, Yoshioka, Kota
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1607.04946

openalex publication_date 2016/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give some remarks on our papers with Minamide and Yanagida on Bridgeland stability conditions. We also give a remark on stability conditions on Enriques surfaces, and give another proof of the projectivity of the coarse moduli spaces of semi-stable objects, which were obtained by Nuer.

Citations

• Fourier-Mukai transforms and the wall-crossing behavior for Bridgeland's stability conditions
• Bridgeland's stability and the positive cone of the moduli spaces of stable objects on an abelian surface
• Projectivity and Birational Geometry of Bridgeland moduli spaces

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• Some moduli spaces of Bridgeland's stability conditions
• Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces
• Lectures on non-commutative K3 surfaces, Bridgeland stability, and moduli spaces
• Weight functions, tilts, and stability conditions
• Stability condition on a singular surface and its resolution