Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
Salle :
Adresse :
Description

http://www.imj-prg.fr/tn/STN/stnj.html

 


Orateur(s) Giulio Orecchia - Université de Rennes,
Titre The strict log jacobian of a log smooth curve
Date04/11/2019
Horaire14:00 à 15:00
Diffusion
Résume
An abelian variety over the fraction field K of a discrete valuation ring R admits a canonical smooth model over R, the Neron model. However, if we allow R to be a regular ring of higher dimension, the same does not hold. The talk will be about smooth group-models of jacobians of curves with nodal degeneration. I will introduce the concepts of log and tropical jacobian, recently redefined by Molcho and Wise, and deduce a criterion for existence of a Neron model in terms of quasi-finiteness of the strict tropical jacobian. I will further give a simple description of the category of all smooth, separated group-models of the jacobian.
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