Jacobians with automorphisms of prime order
Abstract
In this paper we study principally polarized complex abelian varieties ( X , λ ) that admit an automorphism δ of prime order p > 2 . It turns out that certain natural conditions on the multiplicities of the action of δ on Ω 1 ( X ) do guarantee that those polarized varieties are not canonically polarized jacobians of curves.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Publication details
- Journal / source
- Mathematics Research Reports
- Volume
- 7
- Pages
- 1–26
- Publication date
- 23 February 2026
- Language
- EN