JournalsrmiVol. 38, No. 5pp. 1605–1635

On secant defectiveness and identifiability of Segre–Veronese varieties

  • Antonio Laface

    Universidad de Concepción, Chile

  • Alex Massarenti

    Università di Ferrara, Italy

  • Rick Rischter

    Universidade Federal de Itajubá (UNIFEI), Brazil
On secant defectiveness and identifiability of Segre–Veronese varieties cover
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Abstract

We give an almost asymptotically sharp bound for the non-secant defectiveness and identifiability of Segre–Veronese varieties. We also provide new examples of defective Segre–Veronese varieties, and implement our methods in Magma. Finally, we give two applications of our techniques: we classify possibly singular 2-secant defective toric surfaces and we study secant defectiveness of Losev–Manin spaces.

Cite this article

Antonio Laface, Alex Massarenti, Rick Rischter, On secant defectiveness and identifiability of Segre–Veronese varieties. Rev. Mat. Iberoam. 38 (2022), no. 5, pp. 1605–1635

DOI 10.4171/RMI/1336