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Tangential varieties of Segre-Veronese surfaces are never defective

Algebraic Geometry 2019-05-20 v1 Commutative Algebra

Abstract

We compute the dimensions of all the secant varieties to the tangential varieties of all Segre-Veronese surfaces. We exploit the typical approach of computing the Hilbert function of special 0-dimensional schemes on projective plane by using a new degeneration technique.

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Cite

@article{arxiv.1805.11964,
  title  = {Tangential varieties of Segre-Veronese surfaces are never defective},
  author = {Maria Virginia Catalisano and Alessandro Oneto},
  journal= {arXiv preprint arXiv:1805.11964},
  year   = {2019}
}

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23 pages