On local splitting families of hyperelliptic pencils

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概要

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• We construct local splitting families of hyperelliptic pencils so that the original complicated degenerate fiber decomposes into several simple degenerate fibers. In some sense, our trial is a generalization to hyperelliptic curves of arbitrary genus of Moishezon's construction for families of elliptic curves. Moreover, we study certain invariants of degenerate fiber germs.

• 東北大学の論文

著者

• Ashikaga Tadashi

  Faculty Of Eigineering Tohoku-gakuinuniversity

• Arakawa Tatsuya

  Department of information and computerenfineering, Gunma National Colledge of Technology

• Arakawa Tatsuya

  Department Of Information And Computerenfineering Gunma National Colledge Of Technology

関連論文

• Normal two-dimensional hypersurface triple points and the Horikawa type resolution
• On local splitting families of hyperelliptic pencils
• A note on normally generated line bundles on compact Riemann surfaces
• Surface singularities on cyclic coverings and an inequality for the signature

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