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arXiv · 2311.09067

Geometry of first nonempty Terracini loci

Francesco Galuppi·Pierpaola Santarsiero·Douglas A. Torrance·Ettore Teixeira Turatti
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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.

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Francesco Galuppi, Pierpaola Santarsiero, Douglas A. Torrance, Ettore Teixeira Turatti. 2023-11-15. Geometry of first nonempty Terracini loci. https://doi.org/10.1142/s0219199725500531

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