Isogenies on Kummer Surfaces
Maria Corte-Real Santos, E. Victor Flynn
TL;DR
This paper presents a streamlined method for deriving the Fast model of Kummer surfaces and introduces efficient construction techniques for (N,N)-isogenies on these surfaces, applicable to any odd N.
Contribution
It provides a simplified derivation of the Fast model and new methods for constructing (N,N)-isogenies on Kummer surfaces for odd N.
Findings
Simplified derivation of the Fast model.
Efficient construction of (N,N)-isogenies for odd N.
Applicable to both general and Fast models.
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)-isogenies, for any odd N, both on the general Kummer surface and on the Fast model.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · advanced mathematical theories · Mathematics and Applications