New examples of defective secant varieties of Segre-Veronese varieties

Mathematics – Algebraic Geometry

Scientific paper

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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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