Complex multiplication and Noether–Lefschetz loci of the twistor space of a K3 surface
Complex multiplication and Noether–Lefschetz loci of the twistor space of a K3 surface
Abstract For an algebraic K3 surface with complex multiplication (CM), algebraic fibres of the associated twistor space away from the equator are again of CM type. In this paper, we show that algebraic fibres corresponding to points at the same altitude of the twistor base ${S^2} \simeq \mathbb{P}_\mathbb{C}^1$ share the …