Further properties of pseudo-abelian varieties

Leonard Roth

Displaying similar documents to “Further properties of pseudo-abelian varieties”

Improperly abelian varieties

Leonard Roth (1954)

Rendiconti del Seminario Matematico della Università di Padova

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On Subvarieties of Abelian Varieties.

Ziv Ran (1980/81)

Inventiones mathematicae

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A note on dual discriminator varieties.

Ramalho, Margarita (2001)

Portugaliae Mathematica. Nova Série

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Isogeny orbits in a family of abelian varieties

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.