Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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Isogenies on Kummer Surfaces
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by Maria Corte-Real Santos and E. Victor Flynn;
Math. Comp. 94 (2025), 2575-2612
DOI: https://doi.org/10.1090/mcom/4036
Published electronically: November 7, 2024

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.
References
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Bibliographic Information
  • Maria Corte-Real Santos
  • Affiliation: University College London, London WC1E 6BT, United Kingdom
  • MR Author ID: 1554271
  • ORCID: 0000-0003-2651-8951
  • Email: maria.santos.20@ucl.ac.uk
  • E. Victor Flynn
  • Affiliation: Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, United Kingdom
  • MR Author ID: 294150
  • ORCID: 0000-0002-3340-8868
  • Email: flynn@maths.ox.ac.uk
  • Received by editor(s): June 3, 2024
  • Received by editor(s) in revised form: September 17, 2024
  • Published electronically: November 7, 2024
  • Additional Notes: The first author was supported by UK EPSRC grant EP/S022503.
  • © Copyright 2024 by the authors
  • Journal: Math. Comp. 94 (2025), 2575-2612
  • MSC (2020): Primary 11G30, 11G10, 14H40
  • DOI: https://doi.org/10.1090/mcom/4036