Curvilinear base points, local complete intersection and Koszul syzygies in biprojective spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	J William Hoffman Hao Hao Wang

Institution:	Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803 ; Department of Mathematics, Southeast Missouri State University, Cape Girardeau, Missouri 63755

Abstract:	Let $I = \langle f_1 , f_2 , f_3\rangle$ be a bigraded ideal in the bigraded polynomial ring . Assume that has codimension 2. Then $Z = \mathbb{V}(I) \subset \mathbf{P}^{1} \times \mathbf{P}^{1}$ is a finite set of points. We prove that if is a local complete intersection, then any syzygy of the vanishing at , 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).

Keywords:	Base points local complete intersection syzygy saturation projective space

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