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Zbl 0581.14031
Raynaud, M.
Sous-variétés d'une variété abélienne et points de torsion. (French)
[A] Arithmetic and geometry, Pap. dedic. I. R. Shafarevich, Vol. I: Arithmetic, Prog. Math. 35, 327-352 (1983).

[For the entire collection see Zbl 0518.00004.] \par Let A be an abelian variety defined over the complex number field, T the torsion subgroup of A and X an integrally closed subscheme of A. Then the main theorem is: "If $T\cap X$ is dense in X in the sense of Zariski topology, then X is a translation of an abelian subvariety of A with respect to a torsion point". For a more precise statement, see theorem 3.5.1 and its corollary 3.5.2.
[K.Katayama]

MSC 2000:: *14K20 Analytic theory; abelian integrals and differentials
14L05 Formal groups
14K05 Algebraic theory of abelian varieties

Keywords: torsion subgroup of Abelian variety; torsion point; Frobenius; indefinitely p-divisible element; rigid adherence

Citations: Zbl 0518.00004

Cited in: Zbl 1026.14012

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