{ "id": "1603.03890", "version": "v1", "published": "2016-03-12T10:55:20.000Z", "updated": "2016-03-12T10:55:20.000Z", "title": "On the existence of a Gysin morphism for the Blow-up of an ordinary singularity", "authors": [ "Vincenzo Di Gennaro", "Davide Franco" ], "comment": "To the memory of Sacha", "categories": [ "math.AG" ], "abstract": "In this paper we characterize the Blowing-up maps of ordinary singularities for which there exists a natural Gysin morphism, i.e. a bivariant class $\\theta \\in Hom_{D(Y)}(R\\pi_*\\mathbb Q_X, \\mathbb Q_Y)$, compatible with pullback and with restriction to the complement of the singularity.", "revisions": [ { "version": "v1", "updated": "2016-03-12T10:55:20.000Z" } ], "analyses": { "subjects": [ "14B05", "14E15", "14F05", "14F45" ], "keywords": [ "ordinary singularity", "natural gysin morphism", "blowing-up maps", "bivariant class", "restriction" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160303890D" } } }