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arXiv · 0808.3286

Surfaces with p_g=q=1, K^2=8 and nonbirtional bicanonical map

Giuseppe Borrelli
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Abstract

We prove that if the bicanonical map of a minimal surface of general type S with p_{g}=q=1 and K^2=8 is non birational, then it is a double cover onto a rational surface. An application of this theorem is the complete classification of minimal surfaces of general type with p_{g}=q=1, K^2=8 and nonbirational bicanonical map.

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Giuseppe Borrelli. 2008-08-25. Surfaces with p_g=q=1, K^2=8 and nonbirtional bicanonical map. https://arxiv.org/abs/0808.3286

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