By Ke-Zheng Li, Frans Oort

Abelian types might be categorised through their moduli. In confident attribute the constitution of the p-torsion-structure is an extra, great tool. For that constitution supersingular abelian kinds could be thought of the main certain ones. they supply a kick off point for the high quality description of varied constructions. For low dimensions the moduli of supersingular abelian forms is by means of now good understood. during this ebook we offer an outline of the supersingular locus in all dimensions, particularly we compute the measurement of it: it seems to be equivalent to Äg.g/4Ü, and we convey the variety of parts as a category quantity, therefore finishing an extended historic line the place exact circumstances have been studied and basic effects have been conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).

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