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New examples of defective secant varieties of Segre-Veronese varieties (1101.3202v1)
Published 17 Jan 2011 in math.AG
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.
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