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Effective computation of Picard groups and Brauer-Manin obstructions of degree two $$K3$$ surfaces over number fields

Identifieur interne : 000086 ( Main/Merge ); précédent : 000085; suivant : 000087

Effective computation of Picard groups and Brauer-Manin obstructions of degree two $$K3$$ surfaces over number fields

Auteurs : Brendan Hassett [États-Unis] ; Andrew Kresch [Suisse] ; Yuri Tschinkel [États-Unis]

Source :

RBID : ISTEX:A669C03A9B07FACFFA9E9A3E7742FD1AC97C122E

English descriptors

Abstract

Abstract: Using the Kuga-Satake correspondence we provide an effective algorithm for the computation of the Picard and Brauer groups of $$K3$$ surfaces of degree $$2$$ over number fields.

Url:
DOI: 10.1007/s12215-013-0116-8

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ISTEX:A669C03A9B07FACFFA9E9A3E7742FD1AC97C122E

Le document en format XML

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   |texte=   Effective computation of Picard groups and Brauer-Manin obstructions of degree two $$K3$$ surfaces over number fields
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