Derived equivalent Hilbert schemes of points on K3 surfaces which are not birational

28 Feb 2019 · Meachan Ciaran, Mongardi Giovanni, Yoshioka Kota ·

We provide a criterion for when Hilbert schemes of points on K3 surfaces are birational. In particular, this allows us to generate a plethora of examples of non-birational Hilbert schemes which are derived equivalent.