David Trotman – Weak Whitney regularity and equimultiplicity of complex hypersurfaces

David Trotman – Weak Whitney regularity and equimultiplicity of complex hypersurfaces

Date/heure
Date(s) - 21/04/2016
14 h 00 min - 15 h 00 min

Catégories Pas de Catégories

$The\; weak\; Whitney\; regularity\; for\; stratifications,\; introduced\; by\; Karim\; Bekka\; and\; thespeaker,\; implies\; local\; topological\; triviality\; and\; is\; implied\; by\; Whitney\; regularity.\; While\; strictly\; weaker\; than\; Whitney\; regularity\; in\; the\; real\; algebraic\; case,\; its\; status\; vis\; à\; vis\; Whitney\; regularity\; is\; unknown\; in\; the\; complex\; analytic\; case.\; We\; describe\; work\; with\; Duco\; van\; Straten\; showing\; that\; weak\; Whitney\; regularity\; implies\; equimultiplicity\; for\; complex\; hypersurface\; families,\; generalising\; theorems\; of\; Hironaka,\; and\; Briançon\; and\; Speder.[$