Geodesic
On the rational points over Henselian fields
Algebra i logika, Tome 6 (1967) no. 3, pp. 39-49 
Yu. L. Ershov. On the rational points over Henselian fields. Algebra i logika, Tome 6 (1967) no. 3, pp. 39-49. http://geodesic.mathdoc.fr/item/AL_1967_6_3_a5/
@article{AL_1967_6_3_a5,
     author = {Yu. L. Ershov},
     title = {On the rational points over {Henselian} fields},
     journal = {Algebra i logika},
     pages = {39--49},
     year = {1967},
     volume = {6},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_1967_6_3_a5/}
}
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UR  - http://geodesic.mathdoc.fr/item/AL_1967_6_3_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Theorem I gives the necessary and sufficient condition for an algebraic variety to have a rational point over a field with nontrivial henselian valuation. Theorem [2] gives the necessary and sufficient condition for a system of equations over algebraic complete 2 valuation ring to have a rational point. This theorem extends the M. Greenberg's result [4].