Gherardelli linkage and complete intersections
代数几何
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0003075,
title = {Gherardelli linkage and complete intersections},
author = {Davide Franco and Steven L. Kleiman and Alexandru T. Lascu},
journal= {arXiv preprint arXiv:math/0003075},
year = {2007}
}
备注
8 pages, PLAIN TeX