Anatoli Shatsila

Theta-duality and Prym-Torelli for cyclic covers of hyperelliptic curves

Let $f:\tilde{C}\to C$ be an \'etale cyclic cover of odd prime degree $d$ of a hyperelliptic curve of genus $g\geq 2$. We revisit the theta-duality reconstruction argument for the generic injectivity of the associated Prym map by Naranjo-Ortega-Pirola-Spelta and identify an additional residual locus arising from the fi...