Resumen de New examples of defective secant varieties of Segre–Veronese varieties

Hirotachi Abo, María Chiara Brambilla

• 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.