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.
Arithmetic geometry.; Algebraic groups; Local-global principle
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/4967
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