Results 11 to 20 of about 36 (35)
Prime Divisors of the Number of Rational Points on Elliptic Curves with Complex Multiplication [PDF]
, 2005 This is the peer reviewed version of the following article: Liu, Y.-R. (2005). Prime divisors of the number of rational points on elliptic curves with complex multiplication.
Liu, Yu-Ru
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Efficient halving for genus 3 curves over binary fields [PDF]
, 2009 In this article, we deal with fast arithmetic in the Picard group of hyperelliptic curves of genus 3 over binary fields. We investigate both the optimal performance curves, where [h(x)=1] , and the more general curves where the degree of [h(x)] is 1, 2 ...
Birkner, P. +5 more
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The genus of curves over finite fields with many rational points, [PDF]
, 1996 . We prove the following result which was conjectured by Stichtenoth and Xing: let g be the genus of a projective, non-singular, geometrically irreducible, algebraic curve defined over the finite field with q 2 elements whose number of rational points ...
Rainer Fuhrmann, Fernando Torres
core
On group orders of retional points of elliptic curves
, 2004 We consider elliptic curves without complex multiplication defined over the rationals or with complex multiplication defined over the Hilbert class field of the endomorphism ring.
Weng, Annegret
core
SUPERSPECIAL RANK OF SUPERSINGULAR ABELIAN VARIETIES AND JACOBIANS
, 2014 . Une variété abélienne définie sur un corps algébriquement clos de caractéristique positive est supersingulière si elle est isogène à un produit de courbes elliptiques supersingulières et est superspéciale si elle est isomorphe à un produit de courbes ...
Rachel Pries
core
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Points on curves in small boxes and applications
Michigan Mathematical Journal, 2014Javier Cilleruelo, Mei-Chu Chang
exaly
Curves of given p-rank with trivial automorphism group
Michigan Mathematical Journal, 2008Rachel Pries +2 more
exaly