By Ke-Zheng Li, Frans Oort
Abelian forms could be labeled through their moduli. In optimistic attribute the constitution of the p-torsion-structure is an extra, useful gizmo. For that constitution supersingular abelian kinds should be thought of the main targeted ones. they supply a kick off point for the wonderful description of varied buildings. For low dimensions the moduli of supersingular abelian types is via now good understood. during this publication we offer an outline of the supersingular locus in all dimensions, particularly we compute the size of it: it seems to be equivalent to Äg.g/4Ü, and we show the variety of elements as a category quantity, therefore finishing an extended historic line the place designated situations have been studied and common effects have been conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).
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