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- W166695041 abstract "Let X be a smooth, connected, dimension n, quasi-projective variety imbedded in PP_N. Consider integers {k_1,...,k_r}, with k_i>0, and the Hilbert Scheme H_{k_1,...,k_r}(X) of aligned, finite, degree sum k_i, subschemes of X, with multiplicities k_i at points x_i (possibly coinciding). The expected dimension of H_{k_1,...,k_r}(X) is 2N-2+r-(sum k_i)(N-n). We study the locus of points where H_{k_1,...,k_r}(X) is not smooth of expected dimension and we prove that the lines carrying this locus do not fill up PP_N" @default.
- W166695041 created "2016-06-24" @default.
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- W166695041 date "2010-10-12" @default.
- W166695041 modified "2023-09-27" @default.
- W166695041 title "The k-secant lemma and the general projection theorem" @default.
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- W166695041 hasPublicationYear "2010" @default.
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