Higher order secant varieties and blown up varieties |
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Authors: | E. Ballico |
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Affiliation: | 1. Dept. of Mathematics, University of Trento, 38050, Povo (TN), Italy
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Abstract: | Let π:X→Y be the blowing up of the projective varietyY at s general points. Here we study the higher order secant varieties of the linearly normal embeddings ofX andY into projective spaces. We give conditions on the embedding ofY which imply that the firstt secant varieties of a related embedding ofX have the expected dimension. |
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