The Hasse Principle for Lines on del Pezzo Surfaces

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

Autoren

  • Jörg Jahnel
  • Daniel Loughran

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Details

OriginalspracheEnglisch
Seiten (von - bis)12877-12919
Seitenumfang43
FachzeitschriftInternational Mathematics Research Notices
Jahrgang2015
Ausgabenummer23
PublikationsstatusVeröffentlicht - 2015

Abstract

In this paper, we consider the following problem: Does there exist a cubic surface over Q which contains no line over Q, yet contains a line over every completion of Q? This question may be interpreted as asking whether the Hilbert scheme of lines on a cubic surface can fail the Hasse principle. We also consider analogous problems, over arbitrary number fields, for other del Pezzo surfaces and complete intersections of two quadrics.

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The Hasse Principle for Lines on del Pezzo Surfaces. / Jahnel, Jörg; Loughran, Daniel.
in: International Mathematics Research Notices, Jahrgang 2015, Nr. 23, 2015, S. 12877-12919.

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

Jahnel J, Loughran D. The Hasse Principle for Lines on del Pezzo Surfaces. International Mathematics Research Notices. 2015;2015(23):12877-12919. doi: 10.1093/imrn/rnv073
Jahnel, Jörg ; Loughran, Daniel. / The Hasse Principle for Lines on del Pezzo Surfaces. in: International Mathematics Research Notices. 2015 ; Jahrgang 2015, Nr. 23. S. 12877-12919.
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