The minimal resolutions of double points in P^1 x P^1 with ACM support

Details The minimal resolutions of double points in P^1 x P^1 with ACM support The minimal resolutions of double points in P^1 x P^1 with ACM support

2006-09-20

arxiv.org/abs/math/0609564v2

Mathematics

Commutative Algebra

20 pages; revised version includes more detailed proofs in Section 4, and a new section (Section 6) where we answer a special

Scientific paper

Let Z be a finite set of double points in P^1 x P^1 and suppose further that X, the support of Z, is arithmetically Cohen-Macaulay (ACM). We present an algorithm, which depends only upon a combinatorial description of X, for the bigraded Betti numbers of I_Z, the defining ideal of Z. We then relate the total Betti numbers of I_Z to the shifts in the graded resolution, thus answering a special case of a question of T. Roemer.

Affiliated with

Also associated with

No associations

Rating

The minimal resolutions of double points in P^1 x P^1 with ACM support 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 The minimal resolutions of double points in P^1 x P^1 with ACM support, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The minimal resolutions of double points in P^1 x P^1 with ACM support will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-351509