Title	On Isolated Points of Odd Degree
Creator	Bourdon, Abbey
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-08-31T11:20
Description	Let C be a curve defined over a number field $k$, and suppose $C(k)$ is nonempty. We say a closed point $x$ on $C$ of degree $d$ is isolated if it does not belong to an infinite family of degree d points parametrized by the projective line or a positive rank abelian subvariety of the curve's Jacobian. In this talk we will identify the non-CM elliptic curves with rational $j$-invariant which give rise to an isolated point of odd degree on $X_1(N)$ for some positive integer $N$. This is joint work with David Gill, Jeremy Rouse, and Lori D. Watson.
Extent	29.0 minutes
Subject	Mathematics; Number theory; Algebraic geometry; Arithmetic number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Wake Forest University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-02-28
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395994
URI	http://hdl.handle.net/2429/77413
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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