Liaison addition and the structure of a Gorenstein liaison class

Liaison Addition and the Structure of a Gorenstein Liaison Class

We study the concept of liaison addition for codimension two subschemes of an arithmetically Gorenstein projective scheme. We show how it relates to liaison and biliaison classes of subschemes and use it to investigate the structure of Gorenstein liaison equivalence classes, extending the known theory for complete intersection liaison of codimension two subschemes. In particular, we show that o...

Experiments with Gorenstein Liaison

We give some experimental data of Gorenstein liaison, working with points in P and curves in P , to see how far the familiar situation of liaison, biliaison, and Rao modules of curves in P will extend to subvarieties of codimension 3 in higher P . AMS classification numbers: 14H50, 14M07

Gorenstein Liaison via Divisors

Gorenstein Liaison of curves in P

Let k be an algebraically closed field of characteristic zero, S = k[X0, X1, X2, X3, X4] and P = Proj(S). By a curve we always mean a closed one-dimensional subscheme of P which is locally Cohen-Macaulay and equidimensional. The main purpose of this paper is to show that arithmetically Cohen-Macaulay curves C ⊂ P lying on a “general” arithmetically Cohen-Macaulay surface X ⊂ P with degree matri...

Monomial Ideals and the Gorenstein Liaison Class of a Complete Intersection

In an earlier work the authors described a mechanism for lifting monomial ideals to reduced unions of linear varieties. When the monomial ideal is Cohen-Macaulay (including Artinian), the corresponding union of linear varieties is arithmetically CohenMacaulay. The first main result of this paper is that if the monomial ideal is Artinian then the corresponding union is in the Gorenstein linkage ...