Geodesic
Nonarchimedean uniformization
Sbornik. Mathematics, Tome 34 (1978) no. 2, pp. 187-214

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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. 
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     author = {G. A. Mustafin},
     title = {Nonarchimedean uniformization},
     journal = {Sbornik. Mathematics},
     pages = {187--214},
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     number = {2},
     year = {1978},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1978_34_2_a4/}
}
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G. A. Mustafin. Nonarchimedean uniformization. Sbornik. Mathematics, Tome 34 (1978) no. 2, pp. 187-214. http://geodesic.mathdoc.fr/item/SM_1978_34_2_a4/