most citedPencils of genus two curves on rational surfaces

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math.AG2010★ 2 cited

Extremal hyperelliptic fibrations on rational surfaces

Shinya Kitagawa

We consider a rational surface with a relatively minimal fibration. Picard number of a such fibred surface is bounded in terms of the genus of a general fibre. When Picard number i…

math.AG2010★ 4 cited

Pencils of genus two curves on rational surfaces

Shinya Kitagawa

We consider relatively minimal fibrations of curves of genus two on rational surfaces whose Picard numbers are not maximal. By birational morphisms, such fibred surfaces are interp…