Let A ! S be an abelian scheme over a p-adic field, and let s : S ! A be a section. We study the torsion locus S nb1 s1AnÞ on S, and we show that torsion points on S of different orders stay away from each other.

Algebraic Geometry-On the p-adic distribution of torsion values for a section of an abelian scheme

Zannier U.
2020-01-01

Abstract

Let A ! S be an abelian scheme over a p-adic field, and let s : S ! A be a section. We study the torsion locus S nb1 s1AnÞ on S, and we show that torsion points on S of different orders stay away from each other.
2020
Settore MAT/03 - Geometria
Abelian varieties; P-adic fields; Torsion points
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/96244
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