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The Hasse principle for lines on diagonal surfaces

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

Autorschaft

  • Jörg Jahnel
  • Daniel Loughran

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Details

OriginalspracheEnglisch
Seiten (von - bis)107-119
Seitenumfang13
FachzeitschriftMathematical Proceedings of the Cambridge Philosophical Society
Jahrgang160
Ausgabenummer1
PublikationsstatusVeröffentlicht - 1 Jan. 2016

Abstract

Given a number field k and a positive integer d, in this paper we consider the following question: does there exist a smooth diagonal surface of degree d in 3 over k which contains a line over every completion of k, yet no line over k? We answer the problem using Galois cohomology, and count the number of counter-examples using a result of ErdÅs.

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The Hasse principle for lines on diagonal surfaces. / Jahnel, Jörg; Loughran, Daniel.
in: Mathematical Proceedings of the Cambridge Philosophical Society, Jahrgang 160, Nr. 1, 01.01.2016, S. 107-119.

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

Jahnel J, Loughran D. The Hasse principle for lines on diagonal surfaces. Mathematical Proceedings of the Cambridge Philosophical Society. 2016 Jan 1;160(1):107-119. doi: 10.1017/S0305004115000596
Jahnel, Jörg ; Loughran, Daniel. / The Hasse principle for lines on diagonal surfaces. in: Mathematical Proceedings of the Cambridge Philosophical Society. 2016 ; Jahrgang 160, Nr. 1. S. 107-119.
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