On Subvarieties of Abelian Varieties.
Ziv Ran (1980/81)
Inventiones mathematicae
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Displaying similar documents to “A note on abelian varieties embedded in quadrics”
On Subvarieties of Abelian Varieties.
Factorization estimates for abelian varieties
D. W. Masser, G. Wüstholz (1995)
Publications Mathématiques de l'IHÉS
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A construction of an abelian variety with a given endomorphism algebra
F. Oort, M. Van der Put (1988)
Compositio Mathematica
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Very ample linear systems on abelian varieties.
O. Debarre, K. Hulek, J. Spandaw (1994)
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Fulton-Hansen and Barth-Lefschetz theorems for subvarieties of abelian varieties.
Olivier Debarre (1995)
Journal für die reine und angewandte Mathematik
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Multiple Weierstrass points
J. H. Silverman, J. F. Voloch (1991)
Compositio Mathematica
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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.
Improperly abelian varieties
Leonard Roth (1954)
Rendiconti del Seminario Matematico della Università di Padova
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A Note on height pairings on polarized abelian varieties
Valerio Talamanca (1999)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Let be an abelian variety defined over a number field . In this short Note we give a characterization of the endomorphisms that preserve the height pairing associated to a polarization. We also give a functorial interpretation of this result.