RIGID STATIONARY DETERMINANTAL PROCESSES IN NON-ARCHIMEDEAN FIELDS

Recall that the boundary of an affinoid space can be written as a finite union of affinoid spaces defined over some extension of k, see [Duc12, Lemma 3.1]. Here we shall only use

Theorem A. Let X be a smooth projective variety defined over an alge- braically closed non-Archimedean complete field k of residue characteristic zero.. on every compact subset of

This generalizes the M-fields obtained by Moriwaki’s construction in [40, §3] where the function field of an arithmetic variety and a family of nef hermitian line bundles on B

(1) Corollary 2.2 is true only for non-Archimedean dynamics as the ex- ample φ(z) = z 3 + z shows: its complex Julia set is non-empty and it admits a lot of repelling periodic

Article numérisé dans le cadre du programme Numérisation de documents anciens

of these operators. In particular we look at operators which commute with the translation operator.. Linear operators.. Q which commute with EO are called

In the present paper we obtain a few inclusion theorems for the convolution of Nörlund methods in the form (N, rn) C * (N, qn) in complete, non- trivially valued,

Throughout this paper, K denotes a complete, non-trivially valued, non-archimedean field and infinite matrices and sequences have their entries in K... This