Regularity bounds for curves by minimal generators and Hilbert function

Details Regularity bounds for curves by minimal generators and Hilbert function Regularity bounds for curves by minimal generators and Hilbert function

2005-07-28

arxiv.org/abs/math/0507583v2

Mathematics

Algebraic Geometry

9 pages

Scientific paper

Let $\rho_C$ be the regularity of the Hilbert function of a projective curve $C$ in $\mathbb P^n_K$ over an algebraically closed field $K$ and $\alpha_1,...,\alpha_{n-1}$ be minimal degrees for which there exists a complete intersection of type $(\alpha_1,...,\alpha_{n-1})$ containing the curve $C$. Then the Castelnuovo-Mumford regularity of $C$ is upper bounded by $\max\{\rho_C+1,\alpha_1+...+\alpha_{n-1}-(n-2)\}$. We study and, for space curves, refine the above bound providing several examples.

Affiliated with

Also associated with

No associations

Rating

Regularity bounds for curves by minimal generators and Hilbert function 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 Regularity bounds for curves by minimal generators and Hilbert function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularity bounds for curves by minimal generators and Hilbert function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-46719