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Rational points on del Pezzo surfaces of degree four

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Vladimir Mitankin
  • Cecília Salgado

Research Organisations

External Research Organisations

  • Universidade Federal do Rio de Janeiro

Details

Original languageEnglish
Pages (from-to)2099-2127
Number of pages29
JournalInternational Journal of Number Theory
Volume18
Issue number9
Publication statusPublished - 1 Oct 2022

Abstract

We study the distribution of the Brauer group and the frequency of the Brauer--Manin obstruction to the Hasse principle and weak approximation in a family of smooth del Pezzo surfaces of degree four over the rationals.

Keywords

    math.NT, math.AG, 14G12 (primary), 11G35, 11D09, 14D10, 14G05 (secondary), Conic bundle surfaces, del Pezzo surfaces of degree four, Rational points, Brauer groups, Hasse principle

ASJC Scopus subject areas

Cite this

Rational points on del Pezzo surfaces of degree four. / Mitankin, Vladimir; Salgado, Cecília.
In: International Journal of Number Theory, Vol. 18, No. 9, 01.10.2022, p. 2099-2127.

Research output: Contribution to journal › Article › Research › peer review

Mitankin V, Salgado C. Rational points on del Pezzo surfaces of degree four. International Journal of Number Theory. 2022 Oct 1;18(9):2099-2127. doi: 10.1142/S179304212250107X
Mitankin, Vladimir ; Salgado, Cecília. / Rational points on del Pezzo surfaces of degree four. In: International Journal of Number Theory. 2022 ; Vol. 18, No. 9. pp. 2099-2127.
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