Factorization estimates for abelian varieties
D. W. Masser, G. Wüstholz (1995)
Publications Mathématiques de l'IHÉS
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D. W. Masser, G. Wüstholz (1995)
Publications Mathématiques de l'IHÉS
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Alice Silverberg (1988)
Compositio Mathematica
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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.
Luis Fuentes García (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Josep González (1998)
Publicacions Matemàtiques
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Let A be an abelian variety defined over a finite field. In this paper, we discuss the relationship between the p-rank of A, r(A), and its endomorphism algebra, End(A). As is well known, End(A) determines r(A) when A is an elliptic curve. We show that, under some conditions, the value of r(A) and the structure of End(A) are related. For example, if the center of End(A) is an abelian extension of Q, then A is ordinary if and only if End(A) is a commutative field. Nevertheless, we give...
Yuri Zarhin (2014)
Open Mathematics
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The aim of this paper is to extend our previous results about Galois action on the torsion points of abelian varieties to the case of (finitely generated) fields of characteristic 2.
Bas Edixhoven (1995)
Compositio Mathematica
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