An analogue of Mordell conjecture over function fields

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概要

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• 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^<⊗d>) be a projective bundle over X with d=dim X. Assume that the fundamental sheaf Ο(1) on P(Ω_x^<⊗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.

• 東京工芸大学の論文
• 1987-01-15

著者

• Maehara Kazuhisa

  The Faculty Of Engineering Tokyo Institute Of Polytechnics

関連論文

• An analogue of Mordell conjecture over function fields
• An analogue Mordell-Noguchi conjecture over function fields-bis
• Pluri-canonical system of varieties of general type
• IITAKA-VIEHWEG CONJECTURE

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