Generic Prym-Torelli Theorem for Cyclic Coverings of Genus 2 Curves

Generic Prym-Torelli Theorem for Cyclic Coverings of Genus 2 Curves

Explore a mathematical lecture on the Generic Prym-Torelli Theorem for cyclic coverings of genus 2 curves, presented by Angela Ortega from the Hausdorff Center for Mathematics. Delve into the study of cyclic unramified coverings of complex smooth curves of genus 2 and their associated Prym varieties. Learn about the Prym map between corresponding moduli spaces and discover the conditions under which this map is generically injective. Specifically, examine cases where the degree of the covering is a Sophie Germain prime number d ≥ 11, meaning both d and (d-1)/2 are prime. Gain insights into this joint work with Juan Carlos Naranjo and Irene Spelta during this hour-long mathematical exploration.