Liaison and Castelnuovo-Mumford regularity

Details Liaison and Castelnuovo-Mumford regularity Liaison and Castelnuovo-Mumford regularity

2002-11-04

arxiv.org/abs/math/0211042v1

Mathematics

Commutative Algebra

19 pages. To appear in "American Journal of Mathematics"

Scientific paper

In this article we establish bounds for the Castelnuovo-Mumford regularity of projective schemes in terms of the degrees of their defining equations. The main new ingredient in our proof is to show that generic residual intersections of complete intersection rational singularities again have rational singularities. When applied to the theory of residual intersections this circle of ideas also sheds new light on some known classes of free resolutions of residual ideals.

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