New examples of defective secant varieties of Segre-Veronese varieties

Details New examples of defective secant varieties of Segre-Veronese varieties New examples of defective secant varieties of Segre-Veronese varieties

2011-01-17

arxiv.org/abs/1101.3202v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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.

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