Integral points on abelian surfaces are widely spaced
Joseph H. Silverman (1987)
Compositio Mathematica
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Joseph H. Silverman (1987)
Compositio Mathematica
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Qian Lin, Ming-Xi Wang (2015)
Acta Arithmetica
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We prove that if a curve of a nonisotrivial family of abelian varieties over a curve contains infinitely many isogeny orbits of a finitely generated subgroup of a simple abelian variety, then it is either torsion or contained in a fiber. This result fits into the context of the Zilber-Pink conjecture. Moreover, by using the polyhedral reduction theory we give a new proof of a result of Bertrand.
Olivier Debarre (1994)
Bulletin de la Société Mathématique de France
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Compositio Mathematica
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Luis Fuentes García (2004)
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Compositio Mathematica
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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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