Journal
COMMENTARII MATHEMATICI HELVETICI
Volume 94, Issue 3, Pages 445-458Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/CMH/465
Keywords
K3 surfaces; derived categories; motives; Hodge conjecture; Brauer groups; twisted K3 surfaces
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Funding
- DFG (German Research Foundation) [SFB/TR 45]
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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 Safarevic which has been settled only recently by Buskin. The main step consists of a new proof of Safarevic's conjecture that circumvents the analytic parts in [2], avoiding twistor spaces and non-algebraic K3 surfaces.
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