Surfaces of general type with p_g=q=0 having a pencil of hyperelliptic curves of genus 3
classification
🧮 math.AG
keywords
generalgenushyperellipticpencilsurfacestypebicanonicalbirational
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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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