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Arithmetic over the rings of all algebraic integers.
Journal für die reine und angewandte Mathematik, Tome 368 (1986), pp. 127-133

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Mots-clés : rational points of affine variety, Hasse principle, ring of all algebraic integers, capacity theory on algebraic curves, completely valued algebraically closed fields, Hilbert's tenth problem, decision procedure for diophantine equations 
Robert S. Rumely. Arithmetic over the rings of all algebraic integers.. Journal für die reine und angewandte Mathematik, Tome 368 (1986), pp. 127-133. http://geodesic.mathdoc.fr/item/JRAM_1986__368_152840/
@article{JRAM_1986__368_152840,
     author = {Robert S. Rumely},
     title = {Arithmetic over the rings of all algebraic integers.},
     journal = {Journal f\"ur die reine und angewandte Mathematik},
     pages = {127--133},
     year = {1986},
     volume = {368},
     zbl = {0581.14014},
     url = {http://geodesic.mathdoc.fr/item/JRAM_1986__368_152840/}
}
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