Martin, Florent (2016) Overconvergent subanalytic subsets in the framework of Berkovich spaces. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 18 (10). pp. 2405-2457. ISSN 1435-9855,
Full text not available from this repository. (Request a copy)Abstract
We study the class of overconvergent subanalytic subsets of a k-affinoid space X when k is a non-archimedean field. These are the images along the projection X x B-n -> X of subsets defined by inequalities between functions on X x B-n which are overconvergent in the variables of B-n. In particular, we study the local nature, with respect to X, of overconvergent subanalytic sub-sets. We show that they behave well with respect to the Berkovich topology, but not the G-topology. This gives counterexamples to previous results on the subject, and a way to correct them. Moreover, we study the case dim. (X) = 2, for which a simpler characterisation of overconvergent subanalytic subsets is proven.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SETS; PLANE; Berkovich spaces; semianalytic sets; subanalytic sets; overconvergent |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 18 Mar 2019 10:24 |
| Last Modified: | 18 Mar 2019 10:24 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2628 |
Actions (login required)
 |
View Item |
