Gherardelli linkage and complete intersections

Details Gherardelli linkage and complete intersections Gherardelli linkage and complete intersections

2000-03-13

arxiv.org/abs/math/0003075v1

Mathematics

Algebraic Geometry

8 pages, PLAIN TeX

Scientific paper

Our main theorem characterizes the complete intersections of codimension 2 in a projective space of dimension 3 or more over an algebraically closed field of characteristic 0 as the subcanonical and self-linked subschemes. In order to prove this theorem, we'll prove the Gherardelli linkage theorem, which asserts that a partial intersection of two hypersurfaces is subcanonical if and only if its residual intersection is, scheme-theoretically, the intersection of the two hypersurfaces with a third.

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