Equivalent computational problems for superspecial abelian surfaces

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Authors: Mickaël Montessinos
Cited by: 1

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.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Nonlinear Waves and Solitons Algebraic structures and combinatorial models

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 January 2026
Document type
Preprint