Liaison addition and the structure of a Gorenstein liaison class |
| |
Authors: | Robin Hartshorne Juan Migliore Uwe Nagel |
| |
Institution: | 1. Department of Mathematics, Evans Hall, University of California, Berkeley, CA 94720-3840, USA;2. Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA;3. Department of Mathematics, University of Kentucky, 715 Patterson Office Tower, Lexington, KY 40506-0027, USA |
| |
Abstract: | 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 CI-biliaisons. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|