On the behavior of Castelnuovo-Mumford regularity with respect to some functors

Details On the behavior of Castelnuovo-Mumford regularity with respect to some functors On the behavior of Castelnuovo-Mumford regularity with respect to some functors

2007-06-19

arxiv.org/abs/0706.2731v1

Mathematics

Commutative Algebra

Scientific paper

We investigate the behavior of Castelnuovo-Mumford regularity with respect to some classical functors : Tor, the Frobenius functor in positive characteristic, taking a power or a product (on ideals). These generalizes and refines previous results on these issues by several authors. As an application we provide results on the regularity of an intersection of subschemes of a projective scheme, under appropriate geometric hypotheses. Results on the rigidity of multiple Tor modules and on the characterization of their vanishing are given, motivated by geometric applications.

Affiliated with

Also associated with

No associations

Rating

On the behavior of Castelnuovo-Mumford regularity with respect to some functors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the behavior of Castelnuovo-Mumford regularity with respect to some functors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the behavior of Castelnuovo-Mumford regularity with respect to some functors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281317