Geometry of first nonempty Terracini loci

Francesco GaluppiPierpaola SantarsieroDouglas A. TorranceEttore Teixeira Turatti

Nov 2023

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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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