Certain algebraic surfaces with Eisenbud‐Harris general fibration of genus 4 |
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Authors: | Tomokuni Takahashi |
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Affiliation: | Faculty of General Education, Ichinoseki National College of Technology, Ichinoseki, 021‐8511, Japan |
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Abstract: | We classify the algebraic surfaces with Eisenbud‐Harris general fibration of genus 4 over a rational curve or an elliptic curve whose slope attains the lower bound. The classification of our surfaces is strongly related to the result of the classification for certain relative quadric hypersurfaces in 3‐dimensional projective space bundles over a rational curve and an elliptic curve. We further prove some results about the canonical maps, the quadric hulls of the canonical images and the deformation for these surfaces. |
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Keywords: | Surfaces of general type projective space bundles relative dualizing sheaves relative quadric hypersurfaces rational double points MSC (2010) 14J29 |
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