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

On the motive of intersections of two Grassmannians in $$\varvec{\mathbb {P}}^9$$ P 9 Using intersections of two Grassmannians in $$\mathbb {P}^9$$ 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Research in the Mathematical Sciences Springer Journals

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

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References (44)

Publisher
Springer Journals
Copyright
Copyright © 2018 by SpringerNature
Subject
Mathematics; Mathematics, general; Applications of Mathematics; Computational Mathematics and Numerical Analysis
eISSN
2197-9847
DOI
10.1007/s40687-018-0149-x
Publisher site
See Article on Publisher Site

Abstract

Using intersections of two Grassmannians in $$\mathbb {P}^9$$ 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.

Journal

Research in the Mathematical SciencesSpringer Journals

Published: Jun 28, 2018

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