An example of birationally inequivalent projective symplectic varieties which are D-equivalent and L-equivalent

Abstract

We give an example of a pair of projective symplectic varieties in arbitrarily large dimensions which are D-equivalent, L-equivalent, and birationally inequivalent.

arXiv commentv2: Proposition 2.2 was modified due to a crucial error. Main result is now weaker than v1. 6 pages. Comments welcome

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Cited by in corpus (3)

• Derived equivalent Hilbert schemes of points on K3 surfaces which are not birational
• L-equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces
• Strongly ambiguous Hilbert squares of projective K3 surfaces with Picard number one