Further properties of pseudo-abelian varieties
Leonard Roth (1957)
Rendiconti del Seminario Matematico della Università di Padova
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Leonard Roth (1957)
Rendiconti del Seminario Matematico della Università di Padova
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Ziv Ran (1980/81)
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Giambattista Marini (1997)
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Tom Weston (2003)
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D. W. Masser, G. Wüstholz (1995)
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Luis Fuentes García (2004)
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Joseph H. Silverman (1985)
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O. Debarre, K. Hulek, J. Spandaw (1994)
Mathematische Annalen
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Ryuji Sasaki (1981)
Mathematische Zeitschrift
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Olivier Debarre (1995)
Journal für die reine und angewandte Mathematik
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Antonella Perucca (2010)
Acta Arithmetica
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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.
Ramalho, Margarita (2001)
Portugaliae Mathematica. Nova Série
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