Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics

DOI10.1007/s00029-017-0344-4zbMath1450.11036arXiv1612.07193OpenAlexW3104278918MaRDI QIDQ1783981

Evgeny Shinder, Alexander G. Kuznetsov

Publication date: 21 September 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07193

zbMATH Keywords

Grothendieck ring of varietiesD-equivalenceL-equivalence

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Fibrations, degenerations in algebraic geometry (14D06) Quadratic spaces; Clifford algebras (11E88) Sheaves in algebraic geometry (14F06)

Related Items (15)

Motives of derived equivalent \(K3\) surfaces ⋮ On the motive of Ito-Miura-Okawa-Ueda Calabi-Yau threefolds ⋮ Derived equivalence and Grothendieck ring of varieties: the case of K3 surfaces of degree 12 and abelian varieties ⋮ Mukai duality via roofs of projective bundles ⋮ L‐equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces ⋮ Residual categories of quadric surface bundles ⋮ Motivic invariants of birational maps ⋮ Semiorthogonal decompositions in families ⋮ Equivalence of K3 surfaces from Verra threefolds ⋮ An example of birationally inequivalent projective symplectic varieties which are D-equivalent and L-equivalent ⋮ Cremona transformations and derived equivalences of K3 surfaces ⋮ Some remarks on L-equivalence of algebraic varieties ⋮ Cycles, derived categories, and rationality ⋮ On the motive of intersections of two Grassmannians in \(\mathbb{P}^9\) ⋮ Motives of isogenous \(K3\) surfaces

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