Abelian varieties over finite fields
William C. Waterhouse (1969)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Endomorphisms of jacobian varieties of Fermat curves”
Abelian varieties over finite fields
The functor for the ring of integers of a number field
Jerzy Browkin (1982)
Banach Center Publications
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On the jacobian variety of some algebraic curves
Ralph Greenberg (1980)
Compositio Mathematica
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Some bases of the Stickelberger ideal
Ladislav Skula (1993)
Mathematica Slovaca
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Modular curves and the Eisenstein ideal
Barry Mazur (1977)
Publications Mathématiques de l'IHÉS
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A note on Sinnott's index formula
Kazuhiro Dohmae (1997)
Acta Arithmetica
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Let k be an (imaginary or real) abelian number field whose conductor has two distinct prime divisors. We shall construct a basis for the group C of circular units in k and compute the index of C in the group E of units in k. This result is a generalization of Theorem 3.3 in a previous paper [1].
On the p-rank of an abelian variety and its endomorphism algebra.
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...