On the motive of Ito-Miura-Okawa-Ueda Calabi-Yau threefolds

DOI10.3836/tjm/1502179303zbMath1436.14012arXiv1901.04812OpenAlexW2969328281MaRDI QIDQ2186055

Robert Laterveer

Publication date: 9 June 2020

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04812

zbMATH Keywords

Calabi-Yau varietiesChow groupsalgebraic cyclesderived equivalencemotives

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (2)

Derived equivalence and Grothendieck ring of varieties: the case of K3 surfaces of degree 12 and abelian varieties ⋮ On the motive of intersections of two Grassmannians in \(\mathbb{P}^9\)

Cites Work

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• Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics
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• Derived equivalence, Albanese varieties, and the zeta functions of 3–dimensional varieties
• The class of the affine line is a zero divisor in the Grothendieck ring
• A counterexample to the birational Torelli problem for Calabi-Yau threefolds
• The class of the affine line is a zero divisor in the Grothendieck ring: Via 𝐺₂-Grassmannians
• Derived equivalence of Ito–Miura–Okawa–Ueda Calabi–Yau 3-folds
• Derived categories of coherent sheaves and motives

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