Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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 Äg.g/4Ü, 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).

Group theory --- Abelian varieties --- Algebraic varieties --- Moduli theory --- Classification theory --- Mathematical Theory --- Mathematics --- Physical Sciences & Mathematics --- Abelse varieteiten --- Coefficiententheorie --- Theorie des coefficients --- Varieties Abelian --- Variétés abéliennes --- Algebraic geometry. --- Algebraic Geometry. --- Algebraic geometry --- Geometry --- Algebraic varieties - Classification theory