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arXiv · 1705.04063

Motives of isogenous K3 surfaces

Daniel Huybrechts
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Abstract

We prove that isogenous K3 surfaces have isomorphic Chow motives. This provides a motivic interpretation of a long standing conjecture of Safarevich which has been settled only recently by Buskin. The main step consists of a new proof of Safarevich's conjecture that circumvents the analytic parts in Buskin's approach, avoiding twistor spaces and non-algebraic K3 surfaces.

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Daniel Huybrechts. 2017-05-11. Motives of isogenous K3 surfaces. https://arxiv.org/abs/1705.04063

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