Abstract
Let $S$ be a rank one log del Pezzo surface of index two and $S^{0}$ the smooth part of $S$. In this paper we determine the singularity type of $S$, in a way different from Alekseev and Nikulin [1]. Moreover, we calculate the fundamental group of $S^{0}$ and prove that $S$ contains the affine plane as a Zariski open subset if and only if $\pi _{1}(S^{0})=(1)$.
Citation
Hideo Kojima. "Rank one log del Pezzo surfaces of index two." J. Math. Kyoto Univ. 43 (1) 101 - 123, 2003. https://doi.org/10.1215/kjm/1250283742
Information
