Liaison addition and the structure of a Gorenstein liaison class

Robin Hartshorne, Juan Migliore, Uwe Nagel

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 languageEnglish
Pages (from-to)3324-3342
Number of pages19
JournalJournal of Algebra
Issue number8
StatePublished - Apr 15 2008


  • CI-liaison
  • Gorenstein liaison
  • Liaison addition
  • Quadric hypersurface

ASJC Scopus subject areas

  • Algebra and Number Theory


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