HYPERBOLICITY NOTIONS FOR VARIETIES DEFINED OVER A NON-ARCHIMEDEAN FIELD - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year :

HYPERBOLICITY NOTIONS FOR VARIETIES DEFINED OVER A NON-ARCHIMEDEAN FIELD

Abstract

Firstly, we pursue the work of W. Cherry on the analogue of the Kobayashi semi distance dCK that he introduced for analytic spaces defined over a non-Archimedean metrized field k. We prove various characterizations of smooth projective varieties for which dCK is an actual distance. Secondly, we explore several notions of hyperbolicity for a smooth algebraic curve X defined over k. We prove a non-Archimedean analogue of the equivalence between having negative Euler characteristic and the normality of certain families of analytic maps taking values in X.
Fichier principal
Vignette du fichier
Hyperbolic_sincomentarios.pdf (555.99 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01672776 , version 1 (27-12-2017)

Identifiers

Cite

Rita Rodríguez Vázquez. HYPERBOLICITY NOTIONS FOR VARIETIES DEFINED OVER A NON-ARCHIMEDEAN FIELD. 2017. ⟨hal-01672776⟩
222 View
213 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More