Segments and Hilbert schemes of points

Details Segments and Hilbert schemes of points Segments and Hilbert schemes of points

2010-03-15

arxiv.org/abs/1003.2951v1

Mathematics

Commutative Algebra

19 pages, 2 figures. Comments and suggestions are welcome.

Scientific paper

Using results obtained from the study of homogeneous ideals sharing the same initial ideal with respect to some term order, we prove the singularity of the point corresponding to a segment ideal with respect to the revlex term order in the Hilbert scheme of points in $\mathbb{P}^n$. In this context, we look inside properties of several types of "segment" ideals that we define and compare. This study led us to focus our attention also to connections between the shape of generators of Borel ideals and the related Hilbert polynomial, providing an algorithm for computing all saturated Borel ideals with the given Hilbert polynomial.

Affiliated with

Also associated with

No associations

Rating

Segments and Hilbert schemes of points 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 Segments and Hilbert schemes of points, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Segments and Hilbert schemes of points will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-214660