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Surfaces with pg= q = 1, K^2=6 and Non-birational Bicanonical Maps

作者:Yong; HU; Lei; ZHANGbicanonicalmapalgebraicsurfacealbanese

摘要:Let S be a smooth minimal projective surface of general type with pg(S) = q(S) = 1,KS^2= 6. We prove that the degree of the bicanonical map of S is 1 or 2. So if S has non-birational bicanonical map, then it is a double cover over either a rational surface or a K3 surface.

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