Motives of isogenous K3 surfaces

  • Daniel Huybrechts

    Universität Bonn, Germany
Motives of isogenous K3 surfaces cover
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We prove that isogenous K3 surfaces have isomorphic Chow motives. This provides a motivic interpretation of a long standing conjecture of Šafarevic which has been settled only recently by Buskin. The main step consists of a new proof of Šafarevic’s conjecture that circumvents the analytic parts in [2], avoiding twistor spaces and non-algebraic K3 surfaces.

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Daniel Huybrechts, Motives of isogenous K3 surfaces. Comment. Math. Helv. 94 (2019), no. 3, pp. 445–458

DOI 10.4171/CMH/465