Complex Multiplication in Twistor Spaces

Author:

Huybrechts D1

Affiliation:

1. Mathematisches Institut and Hausdorff Center for Mathematics, Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany

Abstract

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 polarised K3 surface with complex multiplication, all algebraic fibres of its twistor space away from the equator have complex multiplication as well.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

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Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Complex multiplication and Noether–Lefschetz loci of the twistor space of a K3 surface;Mathematical Proceedings of the Cambridge Philosophical Society;2023-07-27

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