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

Abstract

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.

arXiv commentFinal version, to appear in Math. Zeit

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Cited by in corpus (4)

• An example of birationally inequivalent projective symplectic varieties which are D-equivalent and L-equivalent
• Two polarized K3 surfaces associated to the same cubic fourfold
• Strongly ambiguous Hilbert squares of projective K3 surfaces with Picard number one
• On birational transformations of Hilbert schemes of points on K3 surfaces