2000/03/13 by Davide Franco, Steven L. Kleiman, Franco, Davide +3
Mathematics · #1407 (Secondary) #14M10 (Primary) 14M06 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:1407 #msc:14M06 #msc:14M10
paper · pdf · doi:10.48550/arxiv.math/0003075
8 pages, PLAIN TeX
arxiv created 2000/03/13 · arxiv updated 2009/11/30
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.