Title

Curvilinear base points, local complete intersection and Koszul syzygies in biprojective spaces

Document Type

Article

Publication Date

8-1-2006

Abstract

Let I = 〈f 1, f 2, f 3〉 be a bigraded ideal in the bigraded polynomial ring k[s,u; t, v]. Assume that I has codimension 2. Then Z = V(I) ⊂ P 1 × P 1 is a finite set of points. We prove that if Z is a local complete intersection, then any syzygy of the f i vanishing at Z, and in a certain degree range, is in the module of Koszul syzygies. This is an analog of a recent result of Cox and Schenck (2003). © 2006 American Mathematical Society.

Publication Source (Journal or Book title)

Transactions of the American Mathematical Society

First Page

3385

Last Page

3398

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