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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1978 Volume 105(147), Number 2, Pages 207–237 (Mi sm2526)

This article is cited in 46 papers

Nonarchimedean uniformization

G. A. Mustafin


Abstract: In this paper we generalize Mumford's construction of nonarchimedean uniformization for curves over a discrete valuation field $K$ to the multidimensional case. We consider some examples and compute certain invariants. We show that in the case of uniform lattices we obtain varieties with ample canonical class.
Bibliography: 11 titles.

UDC: 513.015.7

MSC: Primary 32K10; Secondary 14D10, 14G20

Received: 23.09.1976


 English version:
Mathematics of the USSR-Sbornik, 1978, 34:2, 187–214

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