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
• DOI: 10.1007/s13348-011-0039-7
• Texto completo no disponible (Saber más ...)
• 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.