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Some results on compact Kähler surfaces with non-positive bisectional curvature

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Abstract

In 1961 L. Frankel conjectured that any compact Kähler manifold of positive bisectional curvature is biholomorphic to a projective space. This was solved by S. Mori in 1979 and Siu and Yau in 1980. N. Mok in 1988 gave a full solution to the generalized Frankel’s conjecture and proposed a dual problem. The results in this paper are attempts to give modified solutions to this problem in complex dimension two.

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  1. Department of Mathematics, National Taiwan Normal University, 88 Sec. 4, Ting Chou Road, Taipei, Taiwan R.O.C.

    Yu-Lin Chang

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  1. Yu-Lin Chang
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Chang, YL. Some results on compact Kähler surfaces with non-positive bisectional curvature. Geom Dedicata 145, 65–70 (2010). https://doi.org/10.1007/s10711-009-9403-0

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