Open surfaces of logarithmic Kodaira dimension zero in arbitrary characteristic

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  • KOJIMA Hideo
    Department of Mathematics Graduate School of Science Osaka University Department of Mathematics Naruto University of Education

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In this article we study nonsingular rational open surfaces of logarithmic Kodaira dimension zero with connected boundaries at infinity defined over an algebraically closed field of arbitrary characteristic. We establish a classification theory of nonsingular affine surfaces of logarithmic Kodaira dimension zero and give a characterization of A*1× A*1 in arbitrary characteristic.

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