Title	Integral points on generalised affine ChÃ¢telet surfaces
Creator	Mitankin, Vladimir
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-05-29T17:01
Description	A classical result of Colliot-ThÃ©lÃ¨ne and Sansuc states that the only obstruction to the Hasse principle and weak approximation for generalised ChÃ¢telet surfaces is the Brauer-Manin one, conditionally on Schinzel's hypothesis. Inspired by their work, we study the analogous questions concerning the existence and the density of integral points on the corresponding affine surfaces, again under Schinzel's hypothesis. To be precise, we show that the Brauer-Manin obstruction is the only obstruction to the integral Hasse principle for an infinite family of generalised affine ChÃ¢telet surfaces. Moreover, we show that the set of integral points on any surface in this family satisfies a strong approximation property off infinity with Brauer-Manin obstruction.
Extent	32.0
Subject	Mathematics; Number theory; Algebraic geometry; Arithmetic number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Federal University of Rio de Janeiro
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-14
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376866
URI	http://hdl.handle.net/2429/68700
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Integral points on generalised affine ChÃ¢telet surfaces Mitankin, Vladimir

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