Equivalent computational problems for superspecial abelian surfaces
Algebraic Geometry
2026-01-27 v1 Cryptography and Security
Number Theory
Abstract
We show reductions and equivalences between various problems related to the computation of the endomorphism ring of principally polarised superspecial abelian surfaces. Problems considered are the computation of the Ibukiyama-Katsura-Oort matrix and computation of unpolarised isomoprhisms between superspecial abelian surfaces.
Cite
@article{arxiv.2601.18050,
title = {Equivalent computational problems for superspecial abelian surfaces},
author = {Mickaël Montessinos},
journal= {arXiv preprint arXiv:2601.18050},
year = {2026}
}
Comments
20 pages