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Complex Multiplication in Twistor Spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2020Embargo end date: 01 Jan 2019 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices, volume 2,022, pages 2,095-2,122 (issn: 1073-7928, eissn: 1687-0247, Copyright policy )Funded by:EC | HyperK
Authors: Huybrechts, D;

doi: 10.1093/imrn/rnaa073 , 10.48550/arxiv.1910.13788

arXiv: 1910.13788

Complex Multiplication in Twistor Spaces

Abstract

AbstractDespite 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.

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Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Geometry (math.AG)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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