Automorphisms of positive entropy on some hyperKahler manifolds via derived automorphisms of K3 surfaces

2016/08/19 by Genki Ouchi, Ouchi, Genki · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1608.05627

openalex publication_date 2016/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct examples of hyperKahler manifolds of Picard number two with automorphisms of positive entropy via derived automorphisms of K3 surfaces of Picard number one. Our hyperKahler manifolds are constructed as moduli spaces of Bridgeland stable objects in derived categories of K3 surfaces. Then automorphisms of positive entropy are induced by derived automorphisms of positive entropy on K3 surfaces.

Citations

• Derived categories of cubic and V14 threefolds
• Projectivity and Birational Geometry of Bridgeland moduli spaces

Cited by

• Entropy of the Serre functor for partially wrapped Fukaya categories of surfaces with stops
• A Note on Categorical Entropy of Bielliptic Surfaces and Enriques Surfaces

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