New examples of defective secant varieties of Segre-Veronese varieties
classification
🧮 math.AG
keywords
varietiesdefectivesecantsegre-veronesecertainclassificationembeddedexamples
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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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