Arithmetic aspects of twistor spaces
-- Daniel Huybrechts, October 25, 2019

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 The twistor construction for K3 surfaces is an analytic construction
depending on the existence of Ricci flat metrics. Although most fibres
of the twistor space are non-projective, certain arithmetic properties are passed
on from one algebraic fibre to (almost) all other algebraic fibres. This will
be discussed for complex multiplication.