Projective varieties with projectively equivalent singular 0-dimensional sections |
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| Authors: | E. Ballico A. Cossidente |
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| Affiliation: | 1. Dipartimento di Matematica, Università di Trento, 38050, Povo (TN), Italy
2. Dipartimento di Matematica, Università della Basilicata Contrada Macchia Romana, 85100, Potenza, Italy
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| 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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