Surfaces with p_g= q = 1, K~2=6 and Non-birational Bicanonical Maps

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【作者】 Yong HU  Lei ZHANG 


【摘要】Let S be a smooth minimal projective surface of general type with p_g(S) = q(S) = 1,K_S~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.

【刊名】Acta Mathematica Sinica