30 citations · 77 across the 7 of their papers we have counts for
7 papers
Cusps and Codes
Wolf P. Barth, Slawomir Rams
We study a construction, which produces surfaces with cusps. For example we obtain surfaces of degree six with 18, 24 or 27 three-divisible cusps. For sextic surfac…
Polyhedral Groups and Pencils of K3-Surfaces with Maximal Picard Number
Wolf Barth, Alessandra Sarti
A K3-surface is a (smooth) surface which is simply connected and has trivial canonical bundle. In these notes we investigate three particular pencils of K3-surfaces with maximal Pi…
Equations of low-degree Projective Surfaces with three-divisible Sets of Cusps
Wolf P. Barth, Slawomir Rams
Let Y be a surface with only finitely many singularities all of which are cusps. A set of cusps on Y is called three-divisible, if there is a cyclic global triple cover of Y branch…
Even Sets of Lines on Quartic Surfaces
Wolf P. Barth
An effective divisor D on a smooth (compact complex) surface X is called even, if its class is divisible by 2. D may be assumed reduced w.l.o.g. Then D being ev…
On the Classification of K3-Surfaces with Nine Cusps
W. Barth
By a K3-surface with nine cusps I mean a compact complex surface with nine isolated double points , but otherwise smooth, such that its minimal desingularisation is a K3-surfa…
K3 Surfaces with Nine Cusps
W. Barth
By a K3-surface with nine cusps I mean a surface with nine isolated double points A_2, but otherwise smooth, such that its minimal desingularisation is a K3-surface. It is shown, t…