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- W2105371779 abstract "Abstract We investigate surfaces of general type S with χ( S ) = 1 that admit a fibration ƒ : S → ℙ 1 whose general fiber is a hyperelliptic curve of genus 3. We show that the bicanonical map of S factors through a generically finite rational map of degree two onto a ruled surface. Together with a previous result, this yields a characterization of surfaces with χ = 1 whose bicanonical map factors through a 2 : 1 map onto a ruled surface in terms of the existence of fibrations of small genus." @default.
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- W2105371779 date "2009-08-19" @default.
- W2105371779 modified "2023-09-23" @default.
- W2105371779 title "Bicanonical map of surfaces with χ = 1 fibered by hyperelliptic curves of genus 3" @default.
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- W2105371779 doi "https://doi.org/10.1515/advgeom.2009.035" @default.
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