New examples of defective secant varieties of Segre-Veronese varieties

Abstract

We prove the existence of defective secant varieties of three-factor and four-factor Segre-Veronese varieties embedded in certain multi-degree. 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.

10 pages

References in corpus (1)

• On rational normal curves in projective space

Cited by in corpus (1)

• Secant varieties of Segre-Veronese embeddings of (P^1)^r