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Cubic surfaces failing the integral Hasse principle

Publikation: Arbeitspapier/Preprint › Preprint

Autorschaft

  • Julian Lyczak
  • Vladimir Mitankin
  • H. Uppal

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OriginalspracheEnglisch
Seitenumfang38
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 16 Nov. 2023

Abstract

We study the integral Brauer--Manin obstruction for affine diagonal cubic surfaces, which we employ to construct the first counterexamples to the integral Hasse principle in this setting. We then count in three natural ways how such counterexamples are distributed across the family of affine diagonal cubic surfaces and how often such surfaces satisfy integral strong approximation off $\infty$.

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Cubic surfaces failing the integral Hasse principle. / Lyczak, Julian; Mitankin, Vladimir; Uppal, H.
2023.

Publikation: Arbeitspapier/Preprint › Preprint

Lyczak, J., Mitankin, V., & Uppal, H. (2023). Cubic surfaces failing the integral Hasse principle. Vorabveröffentlichung online. https://doi.org/10.48550/arXiv.2311.10008
Lyczak J, Mitankin V, Uppal H. Cubic surfaces failing the integral Hasse principle. 2023 Nov 16. Epub 2023 Nov 16. doi: 10.48550/arXiv.2311.10008
Lyczak, Julian ; Mitankin, Vladimir ; Uppal, H. / Cubic surfaces failing the integral Hasse principle. 2023.
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