Equivalence of K3 surfaces from Verra threefolds

Abstract

We study (2,2) divisors in $P^2\times P^2$ giving rise to pairs of non-isomorphic, derived equivalent and L-equivalent K3 surfaces of degree 2. In particular, we confirm the existence of such fourfolds as predicted by Kuznetsov and Shinder in \cite{KS}.

11 pages, comments welcome

References in corpus (6)

• Cremona transformations and derived equivalences of K3 surfaces
• Double spinor Calabi-Yau varieties
• Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics
• A counterexample to the birational Torelli problem for Calabi-Yau threefolds
• On a classical correspondence between K3 surfaces II
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Cited by in corpus (1)

• L-equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces