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

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.

arXiv comment21 pages

References in corpus (11)

• Hodge theory and derived categories of cubic fourfolds
• Derived equivalences of K3 surfaces and orientation
• The Fano variety of lines and rationality problem for a cubic hypersurface
• On the symplectic eightfold associated to a Pfaffian cubic fourfold
• Derived categories of cubic and V14 threefolds
• On the categorical entropy and the topological entropy
• Some aspects of explicit birational geometry inspired by complex dynamics
• Projectivity and Birational Geometry of Bridgeland moduli spaces
• The class of the affine line is a zero divisor in the Grothendieck ring: via $G_2$-Grassmannians
• The class of the affine line is a zero divisor in the Grothendieck ring: an improvement
• Lagrangian embeddings of cubic fourfolds containing a plane

Cited by in corpus (2)

• A note on entropy of auto-equivalences: lower bound and the case of orbifold projective lines
• On entropy of spherical twists