Liaison addition and the structure of a Gorenstein liaison class

JOURNAL OF ALGEBRA

卷:319

Article

Hartshorne, Robin³  Migliore, Juan²  Nagel, Uwe¹ 

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

关键词: Gorenstein liaison;    Cl-liaison;    liaison addition;    quadric hypersurface;   

DOI  :  10.1016/j.jalgebra.2008.01.012

来源: Elsevier

【 摘 要 】

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 on the non-singular quadric threefold in projective 4-space, every non-licci ACM curve can be obtained from a single line by successive liaison additions with lines and Cl-biliaisons. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free