On A_k-singularity on a plane curve of fixed degree

Details On A_k-singularity on a plane curve of fixed degree On A_k-singularity on a plane curve of fixed degree

1999-06-22

arxiv.org/abs/math/9906147v1

Mathematics

Algebraic Geometry

3 pages

Scientific paper

Let $k(d)$ be the maximal possible integer $k$ such that there exists a plane
curve of degree $d$ with an $A_k$--singularity. We construct a plane curve of
degree $28s+9$ ($s\in\Z_{\ge 0}$) which has an $A_k$--singularity with
$k=420s^2+269s+42$. Therefore one has $\underline{\lim}_{d\to\infty}k(d)/d^2\ge
15/28$ (pay attention that $15/28>1/2$).

Affiliated with

Also associated with

No associations

Rating

On A_k-singularity on a plane curve of fixed degree 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 A_k-singularity on a plane curve of fixed degree, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On A_k-singularity on a plane curve of fixed degree will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-386614