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

Full Text (PDF format)

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