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Osculating spaces to secant varieties
Authors:Edoardo Ballico  Claudio Fontanari  Cristiano Bocci  Enrico Carlini
Affiliation:(1) Dipartimento di Matematica, Università degli Studi di Trento, Via Sommarive 14, 38050 Povo (Trento), Italy;(2) Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Cesare Saldini 50, 20133 Milano, Italy;(3) Dipartimento di Matematica “F.Casorati”, Università degli Studi di Pavia, Via Ferrata 1, 27100 Pavia, Italy
Abstract:We generalize the classical Terracini’s Lemma to higher order osculating spaces to secant varieties. As an application, we address with the so-called Horace method the case of thed-Veronese embedding of the projective 3-space. This research is part of the T.A.S.C.A. project of I.N.d.A.M., supported by P.A.T. (Trento) and M.I.U.R. (Italy).
Keywords:  KeywordHeading"  >A.M.S. Math. Subject Classification (2000) 14N05
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