{ "id": "1811.06730", "version": "v2", "published": "2018-11-16T09:52:44.000Z", "updated": "2018-12-14T07:55:33.000Z", "title": "A construction of multiplicity class of hypersurfaces from Hesselink stratification of a Hilbert scheme", "authors": [ "Cheolgyu Lee" ], "comment": "Title has been changed", "categories": [ "math.AG" ], "abstract": "It is well-known that there is a positive relationship between the maximal multiplicity and the length of associated virtual 1-parameter subgroup of a projective hypersurface. In this paper, we will define the multiplicity classes of hypersurfaces and construct them from the Hesselink stratification of a Hilbert scheme.", "revisions": [ { "version": "v2", "updated": "2018-12-14T07:55:33.000Z" } ], "analyses": { "subjects": [ "14L24" ], "keywords": [ "hesselink stratification", "multiplicity class", "hilbert scheme", "construction", "maximal multiplicity" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }