On the gonality sequence of an algebraic curve

Details On the gonality sequence of an algebraic curve On the gonality sequence of an algebraic curve

2010-07-15

arxiv.org/abs/1007.2542v1

Mathematics

Algebraic Geometry

Scientific paper

For any smooth irreducible projective curve $X$, the gonality sequence $\{d_r \;| \; r \in \mathbb N \}$ is a strictly increasing sequence of positive integer invariants of $X$. In most known cases $d_{r+1}$ is not much bigger than $d_r$. In our terminology this means the numbers $d_r$ satisfy the slope inequality. It is the aim of this paper to study cases when this is not true. We give examples for this of extremal curves in $\PP^r$, for curves on a general K3-surface in $\PP^r$ and for complete intersections in $\PP^3$.

Affiliated with

Also associated with

No associations

Rating

On the gonality sequence of an algebraic curve 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 gonality sequence of an algebraic curve, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the gonality sequence of an algebraic curve will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-599220