Classification of planar rational cuspidal curves. II. Log del Pezzo models

Karol Palka, Tomasz Pełka

Let $E\subseteq {\mathbb{P}}^2$ be a complex curve homeomorphic to the projective line. The Negativity Conjecture asserts that the Kodaira-Iitaka dimension of $K_X+\frac{1}{2}D$, whe…