Factorization estimates for abelian varieties
D. W. Masser, G. Wüstholz (1995)
Publications Mathématiques de l'IHÉS
Similarity:
Displaying similar documents to “Specialization of endomorphism rings of abelian varieties”
Factorization estimates for abelian varieties
Degrees of curves in abelian varieties
Olivier Debarre (1994)
Bulletin de la Société Mathématique de France
Similarity:
Small values of the quadratic part of the Néron-Tate height on an abelian variety
D. W. Masser (1984)
Compositio Mathematica
Similarity:
On the p-rank of an abelian variety and its endomorphism algebra.
Josep González (1998)
Publicacions Matemàtiques
Similarity:
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...
Heights of algebraic points on subvarieties of abelian varieties
E. Bombieri, U. Zannier (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Abelian varieties over finite fields with a specified characteristic polynomial modulo
Joshua Holden (2004)
Journal de Théorie des Nombres de Bordeaux
Similarity:
We estimate the fraction of isogeny classes of abelian varieties over a finite field which have a given characteristic polynomial modulo . As an application we find the proportion of isogeny classes of abelian varieties with a rational point of order .
Endomorphism estimates for abelian varieties.
D.W. Masser, G. Wüstholz (1994)
Mathematische Zeitschrift
Similarity: