Integral points on generalised affine Chatelet surfaces

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

Authors

  • Vladimir Mitankin

External Research Organisations

  • Max Planck Institute for Mathematics
View graph of relations

Details

Original languageEnglish
Article number102830
JournalBulletin des Sciences Mathematiques
Volume159
Publication statusPublished - Mar 2020
Externally publishedYes

Abstract

We show, conditionally on Schinzel's hypothesis, that the only obstruction to the integral Hasse principle for a large subfamily of generalised affine Châtelet surfaces is the Brauer–Manin one.

Keywords

    Affine Ch5telet surfaces, Multiplicative and norm form equations, Integral points, Brauer-Manin obstruction, Hasse principle, Ideal class group, Affine Châtelet surfaces

ASJC Scopus subject areas

Cite this

Integral points on generalised affine Chatelet surfaces. / Mitankin, Vladimir.
In: Bulletin des Sciences Mathematiques, Vol. 159, 102830, 03.2020.

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

Mitankin V. Integral points on generalised affine Chatelet surfaces. Bulletin des Sciences Mathematiques. 2020 Mar;159:102830. doi: 10.1016/j.bulsci.2019.102830
Download
@article{919bbcf1dcc348c98286f48369817ad2,
title = "Integral points on generalised affine Chatelet surfaces",
abstract = "We show, conditionally on Schinzel's hypothesis, that the only obstruction to the integral Hasse principle for a large subfamily of generalised affine Ch{\^a}telet surfaces is the Brauer–Manin one.",
keywords = "Affine Ch5telet surfaces, Multiplicative and norm form equations, Integral points, Brauer-Manin obstruction, Hasse principle, Ideal class group, Affine Ch{\^a}telet surfaces",
author = "Vladimir Mitankin",
note = "Funding information: While working on this paper the author was supported by ERC grant 306457 . Part of this work was done while in residence at MSRI, the author would like to express his gratitude for their hospitality. The author is also grateful to Max Planck Institute for Mathematics in Bonn where a revised version of this article was made for its hospitality and financial support.",
year = "2020",
month = mar,
doi = "10.1016/j.bulsci.2019.102830",
language = "English",
volume = "159",
journal = "Bulletin des Sciences Mathematiques",
issn = "0007-4497",
publisher = "Elsevier Masson SAS",

}

Download

TY - JOUR

T1 - Integral points on generalised affine Chatelet surfaces

AU - Mitankin, Vladimir

N1 - Funding information: While working on this paper the author was supported by ERC grant 306457 . Part of this work was done while in residence at MSRI, the author would like to express his gratitude for their hospitality. The author is also grateful to Max Planck Institute for Mathematics in Bonn where a revised version of this article was made for its hospitality and financial support.

PY - 2020/3

Y1 - 2020/3

N2 - We show, conditionally on Schinzel's hypothesis, that the only obstruction to the integral Hasse principle for a large subfamily of generalised affine Châtelet surfaces is the Brauer–Manin one.

AB - We show, conditionally on Schinzel's hypothesis, that the only obstruction to the integral Hasse principle for a large subfamily of generalised affine Châtelet surfaces is the Brauer–Manin one.

KW - Affine Ch5telet surfaces

KW - Multiplicative and norm form equations

KW - Integral points

KW - Brauer-Manin obstruction

KW - Hasse principle

KW - Ideal class group

KW - Affine Châtelet surfaces

UR - http://www.scopus.com/inward/record.url?scp=85077647356&partnerID=8YFLogxK

U2 - 10.1016/j.bulsci.2019.102830

DO - 10.1016/j.bulsci.2019.102830

M3 - Article

VL - 159

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

SN - 0007-4497

M1 - 102830

ER -