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On Isolated Points of Odd Degree Bourdon, Abbey
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.
Item Metadata
Title |
On Isolated Points of Odd Degree
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2020-08-31T11:20
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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.
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Extent |
29.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Wake Forest University
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Series | |
Date Available |
2021-02-28
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0395994
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International