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Surfaces of general type with p_g=q=0 having a pencil of hyperelliptic curves of genus 3

Giuseppe Borrelli
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Abstract

We prove that the bicanonical map of a surfaces of general S type with p_g=q=0 is non birational if there exists a pencil on S whose general member is an hyperelliptic curve of genus 3.

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Giuseppe Borrelli. 2004-07-12. Surfaces of general type with p_g=q=0 having a pencil of hyperelliptic curves of genus 3. https://arxiv.org/abs/math/0407198

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