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zbMATH Open
Article . 2025
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https://dx.doi.org/10.48550/ar...
Article . 2024
License: CC BY
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Isogenies on Kummer Surfaces

Isogenies on Kummer surfaces
Authors: Corte-Real Santos, M; Flynn, EV;

Isogenies on Kummer Surfaces

Abstract

We first give a cleaner and more direct approach to the derivation of the Fast model of the Kummer surface. We show how to construct efficient ( N , N ) (N,N) -isogenies, for any odd  N N , both on the general Kummer surface and on the Fast model.

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United Kingdom
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Keywords

Abelian varieties of dimension \(> 1\), 11G30, 11G10, 14H40, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Mathematics - Number Theory, abelian variety, FOS: Mathematics, Kummer surface, Number Theory (math.NT), Jacobians, Prym varieties, Jacobian, isogeny

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Average
Average
Green