On the total order of reducibility of a pencil of algebraic plane curves

Details On the total order of reducibility of a pencil of algebraic plane curves On the total order of reducibility of a pencil of algebraic plane curves

2008-12-26

arxiv.org/abs/0812.4706v2

Journal of Algebra 341, 1 (2011) 256-278

Mathematics

Commutative Algebra

Scientific paper

10.1016/j.jalgebra.2011.06.006

In this paper, the problem of bounding the number of reducible curves in a pencil of algebraic plane curves is addressed. Unlike most of the previous related works, each reducible curve of the pencil is here counted with its appropriate multiplicity. It is proved that this number of reducible curves, counted with multiplicity, is bounded by d^2-1 where d is the degree of the pencil. Then, a sharper bound is given by taking into account the Newton's polygon of the pencil.

Affiliated with

Also associated with

No associations

Rating

On the total order of reducibility of a pencil of algebraic 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 On the total order of reducibility of a pencil of algebraic plane curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the total order of reducibility of a pencil of algebraic plane curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-191447