This article is cited in 2 papers

A function-field analog of the Mordell conjecture: a noncompact version

M. G. Zaidenberg


Abstract: The author proves a geometric analog of Manin's theorem on curves over function fields in the noncompact complex analytic situation. The proof relies on a “theorem on domination” in which the construction of the semistable reduction of a family of noncompact curves is carried out in terms of hyperbolic complex analysis.
Bibliography: 23 titles.

UDC: 512.725 + 512.774.3+515.171.7 + 515.176.4

MSC: 11G30, 14H15, 32J25

Received: 21.10.1987

 English version: Mathematics of the USSR-Izvestiya, 1990, 35:1, 61–81

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