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math.NTJun 1, 2016
8
citations (OpenAlex)
authors
  • Victoria Cantoral-Farfán
  • Yunqing Tang
  • Sho Tanimoto
  • Erik Visse
institutions
  • Institut de Mathématiques de Jussieu-Paris Rive Gauche
  • Kumamoto University
  • Leiden University
  • Princeton University
  • The Abdus Salam International Centre for Theoretical Physics (ICTP)
arXiv abstractPDF
paper

Effective bounds for Brauer groups of Kummer surfaces over number fields

arXiv:1606.06074 · doi:10.1112/jlms.12118

Abstract

We study effective bounds for Brauer groups of Kummer surfaces associated to the Jacobians of curves of genus 2 defined over number fields.

arXiv comment37 pages; an error in an example is fixed; Magma code is included at the end of the source file

References in corpus (10)

  • Transcendental obstructions to weak approximation on general K3 surfaces
  • On the Brauer group of diagonal quartic surfaces
  • Computing Néron-Severi groups and cycle class groups
  • Brauer groups on K3 surfaces and arithmetic applications
  • Hasse principle for generalised Kummer varieties
  • Transcendental Brauer groups of products of CM elliptic curves
  • On the Brauer-Manin obstruction for cubic surfaces
  • Kummer surfaces and the computation of the Picard group
  • Effective bounds for Brauer groups of Kummer surfaces over number fields
  • A survey around the Hodge, Tate and Mumford-Tate conjectures for abelian varieties

Cited by in corpus (2)

  • Effective bounds for Brauer groups of Kummer surfaces over number fields
  • A uniform bound on the Brauer groups of certain log K3 surfaces
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