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arXiv · 2601.18050

Equivalent computational problems for superspecial abelian surfaces

Mickaël Montessinos
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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.

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Mickaël Montessinos. 2026-01-26. Equivalent computational problems for superspecial abelian surfaces. https://arxiv.org/abs/2601.18050

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