On the motive of intersections of two Grassmannians in ${\mathbb{P}}^9$

Abstract

Using intersections of two Grassmannians in ${\mathbb{P}}^9$, Ottem-Rennemo and Borisov-Căldăraru-Perry have exhibited pairs of Calabi-Yau threefolds $X$ and $Y$ that are deformation equivalent, L-equivalent and derived equivalent, but not birational. To complete the picture, we show that $X$ and $Y$ have isomorphic Chow motives.

26 pages, comments welcome

References in corpus (2)

• The motive of a classifying space
• Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections