A result about curves in P3 obtained by R. Strano is generalized to arbitrary subvarieties of Pn. A curve in P3 of degree >4 not contained in a quadric surface is a complete intersection if its generic hyperplane section is a complete intersection: this result is also true, with no restrictions, for any locally C.M. Closed non-degenerate subscheme of Pn, n>3.
On the hyperplane sections of a projective algebraic variety
RE, Riccardo
1987-01-01
Abstract
A result about curves in P3 obtained by R. Strano is generalized to arbitrary subvarieties of Pn. A curve in P3 of degree >4 not contained in a quadric surface is a complete intersection if its generic hyperplane section is a complete intersection: this result is also true, with no restrictions, for any locally C.M. Closed non-degenerate subscheme of Pn, n>3.File in questo prodotto:
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