On the structure of the fiber cone of ideals with analytic spread one

Details On the structure of the fiber cone of ideals with analytic spread one On the structure of the fiber cone of ideals with analytic spread one

2006-03-02

arxiv.org/abs/math/0603042v1

Mathematics

Commutative Algebra

AMS-LaTeX, 24 pages

Scientific paper

Foa a given local ring, we study the fiber cone of ideals with analytic spread one. In this case, the fiber cone has a strucure as a module over its Noether normalization which is a polynomial ring in one variable over the residue field. One may then apply the structure theorem for graded modules over a graded principal domain to get a complete descriptionof the fiber cone as a module. We analyze this structure in order to study and characterize in terms of the ideal itself the aritmetical properties and other numerical invariants of the fiber cone as multiplicity, reduction number or Castelnuovo-Mumford regularity.

Affiliated with

Also associated with

No associations

Rating

On the structure of the fiber cone of ideals with analytic spread one 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 structure of the fiber cone of ideals with analytic spread one, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the structure of the fiber cone of ideals with analytic spread one will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-369386