Non UBC
DSpace
Mitankin, Vladimir
2019-03-14T02:05:58Z
2018-05-29T17:01
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.
https://circle.library.ubc.ca/rest/handle/2429/68700?expand=metadata
32.0
video/mp4
Author affiliation: Federal University of Rio de Janeiro
Oaxaca (Mexico : State)
10.14288/1.0376866
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Postdoctoral
BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
Mathematics
Number theory
Algebraic geometry
Arithmetic number theory
Integral points on generalised affine ChÃ¢telet surfaces
Moving Image
http://hdl.handle.net/2429/68700