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math.AGDec 1, 2017
3
citations (OpenAlex)
authors
  • Grzegorz Kapustka
  • Michał Kapustka
  • Riccardo Moschetti
arXiv abstractPDF
paper

Equivalence of K3 surfaces from Verra threefolds

arXiv:1712.06958 · doi:10.1215/21562261-2019-0059

Abstract

We study (2,2) divisors in P2×P2 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 (12)

  • Derived categories of cubic fourfolds
  • Reconstruction of a variety from the derived category and groups of autoequivalences
  • The K3 category of a cubic fourfold
  • Exceptional collections of line bundles on the Beauville surface
  • Hyperplane sections and derived categories
  • 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
  • Hyperkähler fourfolds and Kummer surfaces
  • A counterexample to the birational Torelli problem for Calabi-Yau threefolds
  • On a classical correspondence between K3 surfaces II
  • Moduli spaces of twisted sheaves on a projective variety

Cited by in corpus (1)

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