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December 2011 Open algebraic surfaces with $\bar{\kappa} = \bar{p}_{g} = 0$ and $\bar{P}_{2} > 0$
Hideo Kojima
Osaka J. Math. 48(4): 1063-1084 (December 2011).

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

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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.

Information

Published: December 2011
First available in Project Euclid: 11 January 2012

zbMATH: 1244.14026
MathSciNet: MR2871294

Subjects:
Primary: 14J26
Secondary: 14R05

Rights: Copyright © 2011 Osaka University and Osaka City University, Departments of Mathematics

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Vol.48 • No. 4 • December 2011
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