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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.
Rutger Noot (1995)
Compositio Mathematica
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Alice Silverberg (1988)
Compositio Mathematica
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K. A. Ribet (1980)
Mémoires de la Société Mathématique de France
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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...
Michael Harris (1979)
Compositio Mathematica
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Bas Edixhoven (1995)
Compositio Mathematica
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