On secant defectiveness and identifiability of Segre–Veronese varieties

• Antonio Laface ^[1] ; Alex Massarenti ^[3] ; Rick Rischter ^[2]
  1. [1] Universidad de Concepción

     Universidad de Concepción

     Comuna de Concepción, Chile

     
  2. [2] Universidade Federal de Itajubá

     Universidade Federal de Itajubá

     Brasil

     
  3. [3] Università di Ferrara

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 5, 2022, págs. 1605-1635
• Idioma: inglés
• DOI: 10.4171/RMI/1336
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• Resumen

  • 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