Abelian varieties in and points of bounded degree on algebraic curves
Olivier Debarre, Rachid Fahlaoui (1993)
Compositio Mathematica
Similarity:
Displaying similar documents to “Degrees of curves in abelian varieties”
Abelian varieties in and points of bounded degree on algebraic curves
Curves of minimal genus on a general abelian variety
Fabio Bardelli, Ciro Ciliberto, Alessandro Verra (1995)
Compositio Mathematica
Similarity:
Abelian surfaces and jacobian varieties over finite fields
Hans-Georg Rück (1990)
Compositio Mathematica
Similarity:
Characterization of jacobian varieties in arbitrary characteristic
José M. Muñoz Porras (1987)
Compositio Mathematica
Similarity:
Multiple Weierstrass points
J. H. Silverman, J. F. Voloch (1991)
Compositio Mathematica
Similarity:
Abelian varieties and curves in
Dan Abramovich, Joe Harris (1991)
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...