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.

翻译：我们展示了与计算主极化超特殊阿贝尔曲面自同态环相关的各类问题之间的规约与等价关系。所考察的问题包括计算Ibukiyama-Katsura-Oort矩阵以及计算超特殊阿贝尔曲面间的非极化同构。