By Ke-Zheng Li, Frans Oort
Abelian types should be categorised through their moduli. In optimistic attribute the constitution of the p-torsion-structure is an extra, great tool. For that constitution supersingular abelian kinds may be thought of the main precise ones. they supply a place to begin for the fantastic description of assorted buildings. For low dimensions the moduli of supersingular abelian forms is via now good understood. during this ebook we offer an outline of the supersingular locus in all dimensions, specifically we compute the size of it: it seems to be equivalent to Äg.g/4Ü, and we show the variety of parts as a category quantity, therefore finishing an extended ancient line the place particular instances have been studied and common effects have been conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).
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