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Osculating spaces to secant varieties

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Publication:2569869
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DOI10.1007/BF02875735zbMath1098.14040arXivmath/0406322MaRDI QIDQ2569869

Edoardo Ballico, Enrico Carlini, Cristiano Bocci, Claudio Fontanari

Publication date: 26 April 2006

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406322


zbMATH Keywords

Laplace equationosculating spacesecant varietyHorace methodTerracini's Lemma


Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05)


Related Items (2)

Embedded varieties, \(X\)-ranks and uniqueness or finiteness of the solutions ⋮ Secant varieties to osculating varieties of Veronese embeddings of \(\mathbb P^n\)



Cites Work

  • Unnamed Item
  • Rational varieties satisfying one or more Laplace equations
  • On linear systems of curves on rational scrolls
  • A Terracini lemma for osculating spaces with applications to Veronese surfaces
  • The extraordinary higher tangent spaces of certain quadric intersections
  • Osculating hyperplanes and a quartic combinant of the nonsingular model of the Kummer and Weddle surfaces


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