A generalisation of Kani-Rosen decomposition theorem for Jacobian varieties

Abstract

In this short paper we generalise a theorem due to Kani and Rosen on decomposition of Jacobian varieties of Riemann surfaces with group action. This generalisation extends the set of Jacobians for which it is possible to obtain an isogeny decomposition where all the factors are Jacobians.

16 pages

References in corpus (1)

• Prym varieties and fourfold covers

Cited by in corpus (7)

• On the one-dimensional family of Riemann surfaces of genus $q$ with $4q$ automorphisms
• A note on large automorphism groups of compact Riemann surfaces
• On Jacobians with group action and coverings
• On Riemann surfaces of genus $g$ with $4g-4$ automorphisms
• On families of Riemann surfaces with automorphisms
• On large prime actions on Riemann surfaces
• Abelian varieties and Riemann surfaces with generalized quaternion group action