Some Ideals with Large Projective Dimension

Details Some Ideals with Large Projective Dimension Some Ideals with Large Projective Dimension

2006-04-20

arxiv.org/abs/math/0604436v2

Mathematics

Commutative Algebra

Fixed an argument in the proof; added some comments

Scientific paper

For an ideal $I$ in a polynomial ring over a field, a monomial support of $I$ is the set of monomials that appear as terms in a set of minimal generators of $I$. Craig Huneke asked whether the size of a monomial support is a bound for the projective dimension of the ideal. We construct an example to show that, if the number of variables and the degrees of the generators are unspecified, the projective dimension of $I$ grows at least exponentially with the size of a monomial support. The ideal we construct is generated by monomials and binomials.

Affiliated with

Also associated with

No associations

Rating

Some Ideals with Large Projective Dimension 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 Some Ideals with Large Projective Dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Ideals with Large Projective Dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-67038