2 citations · 3 across the 4 of their papers we have counts for
4 papers
Real Line Arrangements and Surfaces with Many Real Nodes
Sonja Breske, Oliver Labs, Duco van Straten
A long standing question is if maximum number of nodes on a surface of degree in $\dP^3(\dC)$ can be achieved by a surface defined over the reals which has only real sin…
Dessins d'Enfants and Hypersurfaces with Many -Singularities
Oliver Labs
We show the existence of surfaces of degree in $\dP^3(\dC)$ with approximately singularities of type . The result is based on Chmu…
A Sextic with 35 Cusps
Oliver Labs
Recently, W. Barth and S. Rams discussed sextics with up to 30 -singularities (also called cusps) and their connection to coding theory [math.AG/0403018]. In the present paper…
A Septic with 99 real Nodes
Oliver Labs
We find a surface of degree 7 in real projective three-space P^3(R) with 99 real nodes within a family of surfaces with dihedral symmetry: First, we consider this family over some…