Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Vladimir Mitankin
  • Cecília Salgado

Organisationseinheiten

Externe Organisationen

  • Reichsuniversität Groningen
  • Universidade Federal do Rio de Janeiro
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Details

OriginalspracheEnglisch
Seiten (von - bis)463-478
Seitenumfang16
FachzeitschriftJournal of Number Theory
Jahrgang236
Frühes Online-Datum30 Aug. 2021
PublikationsstatusVeröffentlicht - Juli 2022

Abstract

We consider a family of smooth del Pezzo surfaces of degree four and study the geometry and arithmetic of a genus one fibration with two reducible fibres for which a Brauer element is vertical.

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Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4. / Mitankin, Vladimir; Salgado, Cecília.
in: Journal of Number Theory, Jahrgang 236, 07.2022, S. 463-478.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Mitankin V, Salgado C. Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4. Journal of Number Theory. 2022 Jul;236:463-478. Epub 2021 Aug 30. doi: 10.48550/arXiv.2102.08798, 10.1016/j.jnt.2021.07.030
Mitankin, Vladimir ; Salgado, Cecília. / Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4. in: Journal of Number Theory. 2022 ; Jahrgang 236. S. 463-478.
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abstract = " We consider a family of smooth del Pezzo surfaces of degree four and study the geometry and arithmetic of a genus one fibration with two reducible fibres for which a Brauer element is vertical. ",
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note = "Funding Information: Acknowledgments. We would like to thank Martin Bright, Yuri Manin and Bianca Viray for useful discussions. We are grateful to Leibniz University Hannover, the Max Planck Institute for Mathematics in Bonn and the Federal University of Rio de Janeiro for their hospitality while working on this article. Vladimir Mitankin was partly supported by grant DE 1646/4-2 of the Deutsche Forschungsgemeinschaft . Cec{\'i}lia Salgado was partially supported by FAPERJ grant E-26/202.786/2019 , CNPq grant PQ2 310070/2017-1 and the Capes-Humboldt program. ",
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AU - Mitankin, Vladimir

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N1 - Funding Information: Acknowledgments. We would like to thank Martin Bright, Yuri Manin and Bianca Viray for useful discussions. We are grateful to Leibniz University Hannover, the Max Planck Institute for Mathematics in Bonn and the Federal University of Rio de Janeiro for their hospitality while working on this article. Vladimir Mitankin was partly supported by grant DE 1646/4-2 of the Deutsche Forschungsgemeinschaft . Cecília Salgado was partially supported by FAPERJ grant E-26/202.786/2019 , CNPq grant PQ2 310070/2017-1 and the Capes-Humboldt program.

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