{ "id": "2303.07712", "version": "v2", "published": "2023-03-14T08:53:30.000Z", "updated": "2023-04-08T14:26:50.000Z", "title": "Multi-centered dilatations and congruent isomorphisms", "authors": [ "Arnaud Mayeux" ], "comment": "references added", "categories": [ "math.AG" ], "abstract": "We introduce a multi-centered formalism in the context of dilatations of schemes and algebraic spaces. In particular, this provides new results on the behavior of [MRR20] dilatations. Furthermore, we use our new formalism to deduce some refined congruent isomorphisms.", "revisions": [ { "version": "v2", "updated": "2023-04-08T14:26:50.000Z" } ], "analyses": { "keywords": [ "multi-centered dilatations", "algebraic spaces", "refined congruent isomorphisms", "multi-centered formalism" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }