Variétés abeliennes ordinaires: Graphes d'isogénies et polarisations

Key Points

• Ordinary abelian varieties demonstrate unique properties relating to their isogenies and polarizations.
• Key evidence shows that the structure of isogeny graphs reveals essential information about abelian varieties' properties.
• Observational analysis delves into the interconnections between various isogenies and associated polarizations.
• Understanding these relationships could have significant implications for the study of algebraic geometry.

Abstract