Martin, Florent (2017) Analytic functions on tubes of nonarchimedean analytic spaces. ALGEBRA & NUMBER THEORY, 11 (3). pp. 657-684. ISSN 1937-0652, 1944-7833
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Let k be a discretely valued nonarchimedean field. We give an explicit description of analytic functions whose norm is bounded by a given real number r on tubes of reduced k-analytic spaces associated to special formal schemes (including k-affinoid spaces as well as open polydiscs). As an application we study the connectedness of these tubes. In the discretely valued case, this generalizes a result of Siegfried Bosch. We use as a main tool a result of Aise Johan de Jong relating formal and analytic functions on special formal schemes and a generalization of de Jong's result which is proved in the joint appendix with Christian Kappen.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FORMAL SCHEMES; VARIETIES; affinoid spaces; tubes; semiaffinoid; reduction |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Klaus Künnemann Mathematics > Prof. Dr. Walter Gubler |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 12:57 |
| Last Modified: | 25 Feb 2019 11:40 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28 |
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