The Mordell-Bombieri-Noguchi conjecture over function fields

DOI10.2996/kmj/1138038811zbMath0653.14017OpenAlexW1983689741WikidataQ123190210 ScholiaQ123190210MaRDI QIDQ1107594

Kazuhisa Maehara

Publication date: 1988

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138038811

zbMATH Keywords

nefhigher dimensional analogue of Mordell's finiteness conjecture over function fieldsnumerical effective bundle

Mathematics Subject Classification ID

Rational and birational maps (14E05) Moduli, classification: analytic theory; relations with modular forms (14J15) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

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• Hyperbolic fibre spaces and Mordell's conjecture over function fields
• Arakelov's theorem for abelian varieties
• Higher direct images of dualizing sheaves. I
• Higher direct images of dualizing sheaves. II
• A finiteness property of varieties of general type
• A higher dimensional analogue of Mordell's conjecture over function fields
• The weak 1-positivity of direct image sheaves.
• Hyperbolic and Diophantine analysis

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