{ "id": "1106.2506", "version": "v1", "published": "2011-06-13T18:01:11.000Z", "updated": "2011-06-13T18:01:11.000Z", "title": "Néron models of formally finite type", "authors": [ "Christian Kappen" ], "categories": [ "math.AG", "math.NT" ], "abstract": "We introduce N\\'eron models of formally finite type for uniformly rigid spaces, and we prove that they generalize the notion of formal N\\'eron models for rigid-analytic groups as it was defined by Bosch and Schl\\\"oter. Using this compatibility result, we give examples of uniformly rigid groups whose N\\'eron models are not of topologically finite type.", "revisions": [ { "version": "v1", "updated": "2011-06-13T18:01:11.000Z" } ], "analyses": { "subjects": [ "14G22" ], "keywords": [ "formally finite type", "néron models", "formal neron models", "topologically finite type", "uniformly rigid groups" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1106.2506K" } } }