Moduli of Supersingular Abelian Varieties

  • Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • 1998
  • Paperback
  • 116
  • Sproget er ikke defineret
  • 1
  • 9783540639237
0

Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. They provide a starting point for the fine description of various structures. For low dimensions the moduli of supersingular abelian varieties is by now well understood. In this book we provide a description of the supersingular locus in all dimensions, in particular we compute the dimension of it: it turns out to be equal to AEg.g/4UE, and we express the number of components as a class number, thus completing a long historical line where special cases were studied and general results were conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).

263,00 kr.