Asian Journal of Mathematics

Volume 27 (2023)

Number 3

Terracini locus for three points on a Segre variety

Pages: 375 – 404

DOI: https://dx.doi.org/10.4310/AJM.2023.v27.n3.a3

Authors

Edoardo Ballico (Dipartimento di Matematica, Università di Trento, Italy)

Alessandra Bernardi (Dipartimento di Matematica, Università di Trento, Italy)

Pierpaola Santarsiero (Universität Osnabrück, Germany)

Abstract

We introduce the notion of $r$-th Terracini locus of a variety and we compute it for at most three points on a Segre variety.

Keywords

Terracini loci, Segre varieties, zero-dimensional schemes

2010 Mathematics Subject Classification

14Nxx, 15A69

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The authors were partially supported by GNSAGA of INDAM. Santarsiero was partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – Projektnummer 445466444.

Received 26 January 2022

Accepted 10 March 2023

Published 7 November 2023