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An analogue of Mordell conjecture over function fields An analogue of Mordell conjecture over function fields 前原, 和寿 971 マエハラ, カズヒサ MAEHARA, Kazuhisa 268 Let f : X→C be a proper surjective morphism from a non-singular projective variety onto a non-singular curve defined over the complex number field. Let P(Ω_x^<&otimes;d>) be a projective bundle over X with d=dim X. Assume that the fundamental sheaf Ο(1) on P(Ω_x^<&otimes;d>) is C-ample and that sections C_λ of f are Zariski dense in X. Then we prove that var f=0. This is a special case of higher dimensional Mordell conjecture over the function field. 3 KJ00002353288 論文 Article departmental bulletin paper 1986 application/pdf 東京工芸大学工学部紀要 1 9 1 2 The Academic Reports, the Faculty of Engineering, Tokyo Polytechnic University AN00159741 03876055 https://kougei.repo.nii.ac.jp/record/117/files/KJ00002353288.pdf https://kougei.repo.nii.ac.jp/records/117 eng