Effective computation of Picard groups and Brauer-Manin obstructions of degree two K 3 surfaces over number fields

Brendan Hassett, Andrew Kresch, Yuri Tschinkel

Research output: Contribution to journalArticle

Abstract

Using the Kuga-Satake correspondence we provide an effective algorithm for the computation of the Picard and Brauer groups of K 3 surfaces of degree 2 over number fields.

Original languageEnglish (US)
Pages (from-to)137-151
Number of pages15
JournalRendiconti del Circolo Matematico di Palermo
Volume62
Issue number1
DOIs
StatePublished - Apr 2013

Fingerprint

Brauer Group
Picard Group
K3 Surfaces
Obstruction
Number field
Correspondence

Keywords

  • Brauer groups
  • Effective computation
  • K surface

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Effective computation of Picard groups and Brauer-Manin obstructions of degree two K 3 surfaces over number fields. / Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri.

In: Rendiconti del Circolo Matematico di Palermo, Vol. 62, No. 1, 04.2013, p. 137-151.

Research output: Contribution to journalArticle

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