Oliver Labs

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2005

Real Line Arrangements and Surfaces with Many Real Nodes

Sonja Breske, Oliver Labs, Duco van Straten

A long standing question is if maximum number $μ (d)$ of nodes on a surface of degree $d$ in $\dP^3(\dC)$ can be achieved by a surface defined over the reals which has only real sin…

math.AG2005★ 1 cited

Dessins d'Enfants and Hypersurfaces with Many $A_{j}$ -Singularities

Oliver Labs

We show the existence of surfaces of degree $d$ in $\dP^3(\dC)$ with approximately $\frac{3 j + 2}{6 j ( j + 1 )} d^{3}$ singularities of type $A_{j}, 2 \leq j \leq d - 1$ . The result is based on Chmu…

math.AG2004★ 2 cited

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…

Real Line Arrangements and Surfaces with Many Real Nodes

Dessins d'Enfants and Hypersurfaces with Many Aj​-Singularities

A Septic with 99 real Nodes

Dessins d'Enfants and Hypersurfaces with Many $A_{j}$ -Singularities