arXiv Analytics

Sign in

arXiv:math/0110184 [math.AG]AbstractReferencesReviewsResources

On the Castelnuovo-Mumford regularity of products of ideal sheaves

Jessica Sidman

Published 2001-10-17, updated 2001-11-01Version 2

In this paper we give bounds on the Castelnuovo-Mumford regularity of products of ideals and ideal sheaves. In particular, we show that the regularity of a product of ideals is bounded by the sum of the regularities of its factors if the corresponding schemes intersect in a finite set of points. We also show how approximations of sheaves can be used to bound the regularity of an arrangement of two-planes in projective space.

Comments: 9 pages, Minor additions to introduction, references added, typos corrected, minor change in exposition of main theorem
Categories: math.AG, math.AC, math.CO
Subjects: 13D02, 52C35
Related articles: Most relevant | Search more
arXiv:math/0309051 [math.AG] (Published 2003-09-02)
On the Castelnuovo-Mumford regularity of connected curves
arXiv:math/9906204 [math.AG] (Published 1999-06-29)
Resolutions of Subsets of Finite Sets of Points in Projective Space
arXiv:math/0212033 [math.AG] (Published 2002-12-03)
Castelnuovo-Mumford Regularity in Biprojective Spaces

Links

Toolbox