On the -adic distribution of torsion values for a section of an abelian scheme
Brian Lawrence
University of Chicago, USAUmberto Zannier
Scuola Normale Superiore, Pisa, Italy
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Abstract
Let be an abelian scheme over a -adic field, and let be a section. We study the torsion locus on , and we show that torsion points on of different orders stay away from each other.
Cite this article
Brian Lawrence, Umberto Zannier, On the -adic distribution of torsion values for a section of an abelian scheme. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 2, pp. 285–295
DOI 10.4171/RLM/891