New examples of defective secant varieties of Segre–Veronese varieties

• Autores: Hirotachi Abo, María Chiara Brambilla
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 63, Fasc. 3, 2012, págs. 287-297
• Idioma: inglés
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• Resumen

  • We prove the existence of defective secant varieties of three-factor and four-factor Segre–Veronese varieties embedded in certain multi-degrees. These defective secant varieties were previously unknown and are of importance in the classification of defective secant varieties of Segre–Veronese varieties with three or more factors.