Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces

Key Points

• Derived categories characterize birational and biregular automorphisms in K3 surfaces for generic conditions.,
• The study examines autoequivalences leading to involutions on the Hilbert schemes through a unified theoretical framework.
• Observational analysis on automorphisms provides new insights into the structure of derived categories in algebraic geometry.
• These findings may influence future research on K3 surfaces and their automorphism groups.