On the image of a certain Prym map

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:Zheng Zhang (ShanghaiTech University)
: 2026-03-19 10:30
:Conference Room S307 at Experiment Building at Haiyun Campus

SpeakerZheng Zhang (ShanghaiTech University)

Time2026-3-19 10:30

LocationConference Room S307 at Experiment Building at Haiyun Campus

Abstract:

Torelli problems for ramified Prym maps have been investigated in recent years by Marcucci-Pirola, Marcucci-Naranjo, Naranjo-Ortega and Ikeda. In particular, there is a Prym map which is both injective and relates moduli spaces of the same dimensions, namely the Prym map for double covers of genus 1 curves branched at six points. In this talk, we will give a characterization of the image of this Prym map. This is joint work in progress with S. Casalaina-Martin, M. Lahoz and J.C. Naranjo.