Geodesic
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 
@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},
     publisher = {mathdoc},
     volume = {368},
     year = {1986},
     zbl = {0581.14014},
     url = {http://geodesic.mathdoc.fr/item/JRAM_1986__368_152840/}
}
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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/