Motives of derived equivalent K3 surfaces

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Abstract

We observe that derived equivalent K3 surfaces have isomorphic Chow motives. The result holds more generally for arbitrary surfaces, as pointed out by Charles Vial.

Keywords

Motives K3 surfaces Derived categories 

Mathematics Subject Classification

4C30 14C25 14J28 14F05 

Notes

Acknowledgements

I am very grateful to Charles Vial for answering my questions and to him and Andrey Soldatenkov for comments on a first version of this note and helpful suggestions. Thanks also to Jeff Achter who insisted that the result should hold without any restriction on the field and to the referee for a thorough reading and constructive suggestions.

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Copyright information

© The Author(s) 2017

Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität BonnBonnGermany

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