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arXiv · 1910.13788

Complex multiplication in twistor spaces

Daniel Huybrechts
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Abstract

Despite the transcendental nature of the twistor construction, the algebraic fibres of the twistor space of a K3 surface share certain arithmetic properties. We prove that for a polarized K3 surface with complex multiplication, all algebraic fibres of its twistor space away from the equator have complex multiplication as well.

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Daniel Huybrechts. 2020-03-11. Complex multiplication in twistor spaces. https://arxiv.org/abs/1910.13788

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