Abstract:We establish structure theorems for polarised flag type quotients arising in the study of the moduli space of supersingular abelian varieties. In particular, we prove a refined normal form for the top level of these flags and derive an explicit, computable descent criterion for quasi-polarisations. These results provide a complete classification of the first and last step of these flags. As an application, we compute polarised flag type quotients in dimensions $g\leq 5$, describing the fibers of the truncation morphisms as classification objects of supersingular abelian varieties.
From: Michael Burger [view email]
[v1]
Wed, 10 Jun 2026 17:23:56 UTC (27 KB)
[v2]
Tue, 1 Sep 2026 17:00:07 UTC (31 KB)
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