Plane sextics with a type $\bold E_8$ singular point

Details Plane sextics with a type $\bold E_8$ singular point Plane sextics with a type $\bold E_8$ singular point

2009-02-13

arxiv.org/abs/0902.2281v1

Tohoku Math. J., 62:3 (2010), 329--355

Mathematics

Algebraic Geometry

Scientific paper

We construct explicit geometric models for and compute the fundamental groups of all plane sextics with simple singularities only and with at least one type $\bold E_8$ singular point. In particular, we discover four new sextics with nonabelian fundamental groups; two of them are irreducible. The groups of the two irreducible sextics found are finite. The principal tool used is the reduction to trigonal curves and Grothendieck's {\it dessins d'enfants}

Affiliated with

Also associated with

No associations

Rating

Plane sextics with a type $\bold E_8$ singular point 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 Plane sextics with a type $\bold E_8$ singular point, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Plane sextics with a type $\bold E_8$ singular point will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-357196