Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [28 references]  Display  Hide  Download

https://hal.inria.fr/hal-01672776
Contributor : Rita Rodríguez Vázquez <>
Submitted on : Wednesday, December 27, 2017 - 9:31:42 AM
Last modification on : Thursday, March 5, 2020 - 6:35:52 PM

Files

Hyperbolic_sincomentarios.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01672776, version 1
  • ARXIV : 1801.02479

Collections

Citation

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

Share

Metrics

Record views

257

Files downloads

234