Let k be a complete non-archimedean, algebraically closed field of characteristic 0. We study the different function for finite morphisms of Berkovich curves and investigate its roles as a measurement of the change of radii of discs over which the morphisms are isomorphisms. This property is further used to establish the change of intrinsic radius of convergence of p-adic differential equations, provided they are small enough, under a pushforward by a finite etale morphism.
Metric uniformization of morphisms of Berkovich curves via $p$-adic differential equations
Baldassarri Francesco;
2021
Abstract
Let k be a complete non-archimedean, algebraically closed field of characteristic 0. We study the different function for finite morphisms of Berkovich curves and investigate its roles as a measurement of the change of radii of discs over which the morphisms are isomorphisms. This property is further used to establish the change of intrinsic radius of convergence of p-adic differential equations, provided they are small enough, under a pushforward by a finite etale morphism.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
radiality and p-de - final.pdf
accesso aperto
Descrizione: Articolo
Tipologia:
Preprint (submitted version)
Licenza:
Accesso gratuito
Dimensione
507.41 kB
Formato
Adobe PDF
|
507.41 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
