English

Geometry of first nonempty Terracini loci

Algebraic Geometry 2025-04-30 v1

Abstract

After a few results on curves, we characterize the smallest nonempty Terracini loci of Veronese and Segre-Veronese varieties. For del Pezzo surfaces, we give a full description of the Terracini loci. Moreover, we present an algorithm to explicitly compute the Terracini loci of a given variety.

Keywords

Cite

@article{arxiv.2311.09067,
  title  = {Geometry of first nonempty Terracini loci},
  author = {Francesco Galuppi and Pierpaola Santarsiero and Douglas A. Torrance and Ettore Teixeira Turatti},
  journal= {arXiv preprint arXiv:2311.09067},
  year   = {2025}
}

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