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

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

2004-07-12

arxiv.org/abs/math/0407198v1

Mathematics

Algebraic Geometry

Scientific paper

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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