Abstract
We prove the existence of defective secant varieties of three-factor and four-factor Segre–Veronese varieties embedded in certain multi-degrees. 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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H. Abo is partly supported by NSF grant DMS-0901816.
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Abo, H., Brambilla, M.C. New examples of defective secant varieties of Segre–Veronese varieties. Collect. Math. 63, 287–297 (2012). https://doi.org/10.1007/s13348-011-0039-7
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DOI: https://doi.org/10.1007/s13348-011-0039-7