Acyclicity criteria for complexes associated with an alternating map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

按检索

Acyclicity criteria for complexes associated with an alternating map

Authors:	Alexandre B Tchernev

Institution:	Department of Mathematics, Purdue University, West Lafayette, Indiana 47907

Abstract:	When is a Gorenstein ideal of grade in a local ring , results of Boffi and Sánchez, and of Kustin and Ulrich show that for each $t\ge 1$ one can construct in a canonical way a finite free complex $\mathcal{D}^{t}$ that is ``approximately" a resolution for the ideal $I^{t}$ . Kustin and Ulrich also provide a sufficient condition that $\mathcal{D}^{t}$ is acyclic, and a sufficient condition that $\mathcal{D}^{t}$ is a resolution of $I^{t}$ . We complete these two acyclicity criteria by showing that the corresponding sufficient conditions are also necessary.

Keywords:	Alternating matrix finite free resolution Gorenstein ideal Pfaffian

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文