English

Liaison of varieties of small dimension and deficiency modules

Commutative Algebra 2007-05-23 v2 Algebraic Geometry

Abstract

This article studies the behaviour under liaison of the deficiency modules of schemes that are not assumed to be Cohen-Macaulay. Our study uses in particular a generalization of Serre duality, and gives a satisfactory description of this behaviour in dimension at most three. On the way we show other properties of linked schemes.

Keywords

Cite

@article{arxiv.math/0210441,
  title  = {Liaison of varieties of small dimension and deficiency modules},
  author = {Marc Chardin},
  journal= {arXiv preprint arXiv:math/0210441},
  year   = {2007}
}