{ "id": "2305.18781", "version": "v1", "published": "2023-05-30T06:27:12.000Z", "updated": "2023-05-30T06:27:12.000Z", "title": "Milnor and Tjurina numbers for an isolated complete intersection singularity", "authors": [ "A. J. Parameswaran", "Mohit Upmanyu" ], "categories": [ "math.AG" ], "abstract": "This paper aims to prove that given a isolated complete intersection singularity, the Milnor number will be bounded by a bound depending only on Tjurina number and dimension of the singularity. The proof uses A$\\mathfrak{m}$AC (introduced in arXiv:2204.05594) and as with such methods, the bound is purely existential.", "revisions": [ { "version": "v1", "updated": "2023-05-30T06:27:12.000Z" } ], "analyses": { "keywords": [ "isolated complete intersection singularity", "tjurina number", "milnor number", "paper aims", "purely existential" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }