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On Polarized Surfaces (X, L) with h0(L) > 0, κ(X) ≥ 0 and g(L) = q(X) + 1

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Abstract

Let (X,L) be a polarized surface. If h0(L)>0, then g(L)≥ q(X). In our previous papers, we classified polarized surfaces (X,L) with g(L)=q(X) and h0(L)>0. In this paper, we classify polarized surfaces (X,L) with g(L)=q(X)+1, h0(L)>0, and κ(X) ≥ 0.

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  1. Department of Mathematics, Faculty of Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152, Japan; e-mail

    Yoshiaki Fukuma

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  1. Yoshiaki Fukuma
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Fukuma, Y. On Polarized Surfaces (X, L) with h0(L) > 0, κ(X) ≥ 0 and g(L) = q(X) + 1. Geometriae Dedicata 69, 189–206 (1998). https://doi.org/10.1023/A:1004962327823

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  • DOI: https://doi.org/10.1023/A:1004962327823

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