Abstract
Let $S$ be a smooth open rational surface with $\bar{\kappa}(S) = \bar{p}_{g}(S) = 0$ and $\bar{P}_{2}(S) > 0$. We construct a certain minimal model of $S$, which is called a strongly minimal model of $S$ in [15], and determine the strongly minimal model in the case where $S$ has non-contractible boundary at infinity. As an application, we classify the log affine surfaces with $\bar{\kappa} = \bar{p}_{g} = 0$ and $\bar{P}_{2} > 0$ under the minimality condition.
Citation
Hideo Kojima. "Open algebraic surfaces with $\bar{\kappa} = \bar{p}_{g} = 0$ and $\bar{P}_{2} > 0$." Osaka J. Math. 48 (4) 1063 - 1084, December 2011.
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