The paper considers the natural problem whether, given a rational point on an algebraic group, the local divisibility by n implies that point is rationally divisible by n. Some significant cases are completely settled (e.g. elliptic curves) and other results are presented.
On a local-global principle for the divisibility of a rational point by a positive integer.
ZANNIER, UMBERTO;
2007
Abstract
The paper considers the natural problem whether, given a rational point on an algebraic group, the local divisibility by n implies that point is rationally divisible by n. Some significant cases are completely settled (e.g. elliptic curves) and other results are presented.File in questo prodotto:
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