On the collisions of singular points of complex algebraic plane curves

Details On the collisions of singular points of complex algebraic plane curves On the collisions of singular points of complex algebraic plane curves

2007-08-09

arxiv.org/abs/0708.1228v3

"Contemporary Mathematics", volume 475, 2008, pg. 89-110

Mathematics

Algebraic Geometry

Final version

Scientific paper

We study the "generic" degenerations of curves with two singular points when the points merge. First, the notion of generic degeneration is defined precisely. Then a method to classify the possible results of generic degenerations is proposed in the case of linear singularity types. We discuss possible bounds on the singularity invariants of the resulting type in terms of the initial types. In particular the strict upper bound on the resulting multiplicity is proved and a sufficient condition for $\delta=const$ collision is given.

Affiliated with

Also associated with

No associations

Rating

On the collisions of singular points of complex 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 collisions of singular points of complex algebraic plane curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the collisions of singular points of complex algebraic plane curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-417164