6 citations · 7 across the 5 of their papers we have counts for
6 papers
Analytic functions on tubes of non-Archimedean analytic spaces
Florent Martin, Christian Kappen
Let be a discretely valued non-Archimedean field. We give an explicit description of analytic functions whose norm is bounded by a given real number on tubes of reduced …
A refinement of the Artin conductor and the base change conductor
Ching-Li Chai, Christian Kappen
For a local field K with positive residue characteristic p, we introduce, in the first part of this paper, a refinement bAr_K of the classical Artin distribution Ar_K. It takes val…
Abelian varieties over number fields, tame ramification and big Galois image
Sara Arias-de-Reyna, Christian Kappen
Given a natural number n and a number field K, we show the existence of an integer \ell_0 such that for any prime number \ell\geq \ell_0, there exists a finite extension F/K, unram…
Néron models of formally finite type
Christian Kappen
We introduce Néron models of formally finite type for uniformly rigid spaces, and we prove that they generalize the notion of formal Néron models for rigid-analytic groups as it wa…
Uniformly rigid spaces
Christian Kappen
We define a new category of non-archimedean analytic spaces over a complete discretely valued field, which we call uniformly rigid. It extends the category of rigid spaces, and it…
Uniformly rigid spaces and Néron models of formally finite type
Christian Kappen
We introduce a new category of non-archimedean analytic spaces over a complete discretely valued field. These spaces, which we call uniformly rigid, may be viewed as classical rigi…