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

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.

References in corpus (1)

• On the classification of surfaces of general type with non-birational bicanonical map and Du Val Double planes