{ "id": "1807.00017", "version": "v1", "published": "2018-06-29T18:04:26.000Z", "updated": "2018-06-29T18:04:26.000Z", "title": "$μ$-constant deformations of functions on ICIS", "authors": [ "R. S. Carvalho", "B. Orefice-Okamoto", "J. N. Tomazella" ], "categories": [ "math.AG" ], "abstract": "We study deformations of holomorphic function germs $f:(X,0)\\to\\mathbb C$ where $(X,0)$ is an ICIS. We present conditions for these deformations to have constant Milnor number, Euler obstruction and Bruce-Roberts number.", "revisions": [ { "version": "v1", "updated": "2018-06-29T18:04:26.000Z" } ], "analyses": { "subjects": [ "32S10" ], "keywords": [ "constant deformations", "holomorphic function germs", "constant milnor number", "bruce-roberts number", "euler obstruction" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }