Title	A Chabauty-Coleman bound for surfaces in abelian threefolds
Creator	Pasten, Hector
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-09-04T11:20
Description	We will give a bound for the number of rational points in a hyperbolic surface contained in an abelian threefold of Mordell-Weil rank $1$ over $\mathbb{Q}$. The form of the estimate is analogous to the classical Chabauty-Coleman bound for curves, although the proof uses a completely different approach. The new method concerns w-integral schemes, especially in positive characteristic. This is joint work with Jerson Caro.
Extent	30.0 minutes
Subject	Mathematics; Number theory; Algebraic geometry; Arithmetic number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Pontificia Universidad Catolica de Chile
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-03-04
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0396031
URI	http://hdl.handle.net/2429/77445
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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