Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane Curves

Details Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane Curves Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane Curves

1992-04-02

arxiv.org/abs/alg-geom/9204001v1

Mathematics

Algebraic Geometry

13 pages, LaTeX 2.09

Scientific paper

Let $\Gamma$ be a plane curve of degree $d$ with $\delta$ ordinary nodes and no other singularities. If $P$ is a smooth point on $\Gamma$ then the Weierstrass gap sequence at $P$ is considered as that at the corresponding point on the normalization of $\Gamma$. A smooth point $P\in\Gamma$ is called a total inflection point if $i(\Gamma ,T;P)=d$ where $T$ is the tangent line to $\Gamma$ at $P$. There are many possible Weierstrass gap sequences at total inflection points. Our main results are: Among them (1) There exists a pair $(P,\Gamma )$ such that the gap sequence at $P$ is the minimal (in the sense of weight). (2) There exists a pair $(P,\Gamma )$ such that the gap sequence at $P$ is the maximal (resp. up to 1 maximal). And we characterize these cases in the sense of location of nodes.

Affiliated with

Also associated with

No associations

Rating

Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane Curves 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 Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane Curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane Curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-587216