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Osculating spaces to secant varieties

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Trento, Via Sommarive 14, 38050, Povo (Trento), Italy

    Edoardo Ballico & Claudio Fontanari

  2. Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Cesare Saldini 50, 20133, Milano, Italy

    Cristiano Bocci

  3. Dipartimento di Matematica “F.Casorati”, Università degli Studi di Pavia, Via Ferrata 1, 27100, Pavia, Italy

    Enrico Carlini

Authors
  1. Edoardo Ballico
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  2. Claudio Fontanari
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  3. Cristiano Bocci
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  4. Enrico Carlini
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Additional information

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).

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Ballico, E., Fontanari, C., Bocci, C. et al. Osculating spaces to secant varieties. Rend. Circ. Mat. Palermo 53, 429–436 (2004). https://doi.org/10.1007/BF02875735

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  • DOI: https://doi.org/10.1007/BF02875735

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