On the motive of Kapustka–Rampazzo's Calabi-Yau threefolds

Robert LATERVEER

doi:10.14492/hokmj/1602036025

Abstract

Kapustka and Rampazzo have exhibited pairs of Calabi-Yau threefolds $X$ and $Y$ that are L–equivalent and derived equivalent, without being birational. We complete the picture by showing that $X$ and $Y$ have isomorphic Chow motives.

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Robert LATERVEER. "On the motive of Kapustka–Rampazzo's Calabi-Yau threefolds." Hokkaido Math. J. 49 (2) 227 - 245, June 2020. https://doi.org/10.14492/hokmj/1602036025

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Published: June 2020

First available in Project Euclid: 7 October 2020

zbMATH: 07276075

MathSciNet: MR4159170

Digital Object Identifier: 10.14492/hokmj/1602036025

Subjects:

Primary: 14C15 , 14C25 , 14C30

Keywords: algebraic cycles , Calabi–Yau varieties , Chow groups , derived equivalence , motives

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