Motives of isogenous K3 surfaces
Copyright policy )Motives of isogenous K3 surfaces
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.
- University of Bonn Germany
Algebraic cycles, twisted \(K3\) surfaces, \(K3\) surfaces, Mathematics - Algebraic Geometry, motives, (Equivariant) Chow groups and rings; motives, derived categories, Transcendental methods, Hodge theory (algebro-geometric aspects), FOS: Mathematics, \(K3\) surfaces and Enriques surfaces, Hodge conjecture, Algebraic Geometry (math.AG), Brauer groups
Algebraic cycles, twisted \(K3\) surfaces, \(K3\) surfaces, Mathematics - Algebraic Geometry, motives, (Equivariant) Chow groups and rings; motives, derived categories, Transcendental methods, Hodge theory (algebro-geometric aspects), FOS: Mathematics, \(K3\) surfaces and Enriques surfaces, Hodge conjecture, Algebraic Geometry (math.AG), Brauer groups
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