Open surfaces of logarithmic Kodaira dimension zero in arbitrary characteristic

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

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Abstract

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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