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Responsabili:

Federica Galluzzi  ed  Elena Martinengo
 

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

Evento

Titolo: Isogenous (non-)hyperelliptic CM Jacobians: constructions, results, and Shimura class groups
Quando: 11/05/2022 - 14:30
Dove: Palazzo Campana - TORINO
Aula: Webinar - Aula virtuale Webex
Relatore: Bogdan Adrian Dina
Afferenza: Einstein Institute of Mathematics at the Hebrew University in Jerusalem
Locandina: Locandina

Descrizione:

 
 
Abstract: Jacobians of CM curves are abelian varieties with a particularly large endomorphism algebra, which provides them with a rich arithmetic structure. The motivating question for the results in this talk is whether we can find hyperelliptic and non-hyperelliptic curves with maximal CM by a given order whose Jacobians are isogenous.

Joint work with Sorina Ionica, and Jeroen Sijsling considers this question in genus 3 by using the catalogue of CM fields in the LMFDB, and found a (small) list of such isogenous Jacobians. This talk describes the main constructions, some results, and Shimura class groups.

Sede

Sede: Palazzo Campana - Sito web
Indirizzo: Via Carlo Alberto 10
CAP: 10123
Città: TORINO