English

A remark on Zak's theorem on tangencies

Algebraic Geometry 2012-03-02 v1

Abstract

We present a slightly different formulation of Zak's theorem on tangencies as well as some applications. In particular, we obtain a better bound on the dimension of the dual variety of a manifold and we classify extremal and next-to-extremal cases when its secant variety does not fill up the ambient projective space.

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Cite

@article{arxiv.1203.0208,
  title  = {A remark on Zak's theorem on tangencies},
  author = {José Carlos Sierra},
  journal= {arXiv preprint arXiv:1203.0208},
  year   = {2012}
}

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