## Points entiers des variétés arithmétiques. (Integral points of arithmetic varieties).(French)Zbl 0644.14008

Théorie des nombres, Sémin. Paris 1985/86, Prog. Math. 71, 147-154 (1987).
[For the entire collection see Zbl 0621.00007.]
Let $$R$$ be a Dedekind ring of field of fractions $$K$$, $$\bar K$$ an algebraic closure of the field $$K$$, $$R^{int}$$ the integral closure of $$R$$ in $$\bar K.$$ It isconsidered the following problem: given an R-scheme of the form $$f: X\to Spec($$R$$),$$ when is $$X(R^{int})\neq 0$$ true?
Reviewer: S.Kotov

### MSC:

 14G05 Rational points 14A10 Varieties and morphisms

### Keywords:

integral points; arithmetic varieties

Zbl 0621.00007