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.
Original language | English |
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Pages (from-to) | 3324-3342 |
Number of pages | 19 |
Journal | Journal of Algebra |
Volume | 319 |
Issue number | 8 |
DOIs | |
State | Published - Apr 15 2008 |
Keywords
- CI-liaison
- Gorenstein liaison
- Liaison addition
- Quadric hypersurface
ASJC Scopus subject areas
- Algebra and Number Theory