Abstract
Fix integers m, n such that 1 ≤ m ≤ n − 3. Let X ⊂ Pn be an integral non-degenerate m-dimensional variety. Assume either char(K) = 0 or char(K) > deg(X). Here we prove that all general 0-dimensional sections of X containing a tangent vector to a smooth point of X are protectively equivalent if and only if n − m + 1 ≤ deg(X) ≤ n − m + 2.
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