The EMS Publishing House is now EMS Press and has its new home at

Please find all EMS Press journals and articles on the new platform.

Commentarii Mathematici Helvetici

Full-Text PDF (264 KB) | Metadata | Table of Contents | CMH summary
Online access to the full text of Commentarii Mathematici Helvetici is restricted to the subscribers of the journal, who are encouraged to communicate their IP-address(es) to their agent or directly to the publisher at
Volume 94, Issue 3, 2019, pp. 445–458
DOI: 10.4171/CMH/465

Published online: 2019-09-25

Motives of isogenous K3 surfaces

Daniel Huybrechts[1]

(1) Universität Bonn, Germany

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.

Keywords: K3 surfaces, derived categories, motives, Hodge conjecture, Brauer groups, twisted K3 surfaces

Huybrechts Daniel: Motives of isogenous K3 surfaces. Comment. Math. Helv. 94 (2019), 445-458. doi: 10.4171/CMH/465