4 papers
Classification of del {P}ezzo surfaces of rank one. III. Height 3
Karol Palka, Tomasz Pełka
This article is a part of a series aimed at classifying normal del Pezzo surfaces of Picard rank one over an algebraically closed field of arbitrary characteristic, up to an isomor…
Classification of del Pezzo surfaces of rank one. I. Height 1 and 2. II. Descendants with elliptic boundaries
Karol Palka, Tomasz Pełka
This is the first article in a series aimed at classifying normal del Pezzo surfaces of Picard rank one over algebraically closed fields of arbitrary characteristic up to an isomor…
On the structure of open del Pezzo surfaces
Karol Palka, Tomasz Pełka
Let be an open log del Pezzo surface of rank one, that is, is a normal projective surface of Picard rank one, the boundary is a reduced nonzero divisor on , and…
Classification of planar rational cuspidal curves. II. Log del Pezzo models
Karol Palka, Tomasz Pełka
Let be a complex curve homeomorphic to the projective line. The Negativity Conjecture asserts that the Kodaira-Iitaka dimension of , whe…