WebOct 22, 2012 · He then applied it to the Jacobian variety of a cyclic quotient of a Fermat curve and showed that torsion points of certain prime order lay outside of the theta … WebUsing a specialization argument, I also classify torsion points on a generic superelliptic curve, extending Theorem 7.1 of Poonen–Stoll [57] to the hyperelliptic case. In order to …
Torsion points on Jacobian varieties via Anderson
http://sporadic.stanford.edu/reference/arithmetic_curves/sage/schemes/hyperelliptic_curves/jacobian_generic.html WebSep 1, 2010 · (2) As the points of a hyperelliptic curve have no structure, it is useful to examine the Jacobian variety of a curve (see [3]). Let J 1 be the Jacobian of C 1 , C (d) the quadratic twist of C 1 by d and J (d) the 1 1 Jacobian of C (d) 1 . 1966 F. Najman / Journal of NumberTheory 130 (2010) 1964–1968 Lemma 3. J 1 (Q(i)) similarequal Z 19 . Proof. nike air jordan 1 low off white
Simple genus-2 Jacobians with rational points of high order
WebJul 9, 2014 · Also, we find the genus-3 curve 15625(X^4 + Y^4 + Z^4) - 96914(X^2 Y^2 + X^2 Z^2 + Y^2 Z^2) = 0, whose Jacobian has 864 rational torsion points. This paper has … Webproperty on the point counting algorithm are also dis-cussed in this paper. In this paper, we assume that an operation of univari-ate polynomials of degree n over Fq takes O(n1+o(1)) operations in Fq. 2 Torsion points and Frobenius map Let J be the Jacobian of a genus 2 hyperelliptic curve over a finite field Fq of odd characteristic and χ ... WebAs an application, we get a stronger result on the intersection of the theta divisor and torsion points on the Jacobian variety for more general curves. New examples are discussed as … nike air jordan 1 low mystic navy