A proof of N\'eron--Ogg--Shafarevich criterion via its archimedean analogue

Autor:	Oh, Gyujin
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory 14K05 14K10
Druh dokumentu:	Working Paper
Popis:	In this short note, we deduce the classical N\'eron--Ogg--Shafarevich criterion on good reduction of abelian varieties from its archimedean analogue: a holomorphic family of abelian varieties over a punctured disc extends to the whole unit disc if and only if the topological monodromy representation is trivial.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.13255 Zobrazit plný text záznamu View this record from Arxiv