Further properties of pseudo-abelian varieties
Leonard Roth (1957)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Improperly abelian varieties”
Further properties of pseudo-abelian varieties
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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.
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