On Subvarieties of Abelian Varieties.
Ziv Ran (1980/81)
Inventiones mathematicae
Similarity:
Ziv Ran (1980/81)
Inventiones mathematicae
Similarity:
Giambattista Marini (1997)
Manuscripta mathematica
Similarity:
Marcel Jacobson, Moshe Jarden (2001)
Acta Arithmetica
Similarity:
Yu. G. Zarhin (1985)
Inventiones mathematicae
Similarity:
Peter Bruin (2011)
Journal de Théorie des Nombres de Bordeaux
Similarity:
In this expository note, we describe an arithmetic pairing associated to an isogeny between Abelian varieties over a finite field. We show that it generalises the Frey–Rück pairing, thereby giving a short proof of the perfectness of the latter.
Alice Silverberg (1988)
Compositio Mathematica
Similarity:
Everett W. Howe (1995)
Journal für die reine und angewandte Mathematik
Similarity:
Joseph H. Silverman (1985)
Inventiones mathematicae
Similarity:
Alexandru Buium, José Felipe Voloch (1993)
Mathematische Annalen
Similarity:
Qian Lin, Ming-Xi Wang (2015)
Acta Arithmetica
Similarity:
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.
Tom Weston (2003)
Acta Arithmetica
Similarity:
Antonella Perucca (2010)
Acta Arithmetica
Similarity:
D.W. Masser, G. Wüstholz (1994)
Mathematische Zeitschrift
Similarity: