3 papers
math.AG2024
K*-surfaces of Picard number one and integral degree
Jürgen Hausen, Katharina Király
We give an explicit description of all quasismooth, rational, projective surfaces of Picard number one that admit a non-trivial torus action and have an integral canonical self int…
math.AG2024
On Degenerations of the Projective Plane
Jürgen Hausen, Katharina Király, Milena Wrobel
Complementing results of Hacking and Prokhorov, we determine in an explicit manner all log terminal, rational, degenerations of the projective plane that allow a non-trivial torus…
math.AG2023
Full intrinsic quadrics of dimension two
Jürgen Hausen, Katharina Király
A full intrinsic quadric is a normal complete variety with a finitely generated Cox ring defined by a single quadratic relation of full rank. We describe all surfaces of this type…