We define modular equations describing the l-torsion subgroups of the Jacobian of a hyperelliptic curve. Over a finite base field, we prove factorization properties that extend the well-known results used in Atkin's improvement of Schoof's genus 1 point counting algorithm
In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, and Zykin, which allows ...
We introduce an algorithm to compute the rational torsion subgroup of the Jacobian of a hyperellipti...
AbstractA curve C defined over Q is modular of level N if there exists a non-constant morphism from ...
We define modular equations describing the l-torsion subgroups of the Jacobian of a hyperelliptic cu...
We introduce an algorithm to compute the structure of the rational torsion subgroup of the Jacobian ...
International audienceSchoof's classic algorithm allows point-counting for elliptic curves over fini...
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
We describe how the quadratic Chabauty method may be applied to determine the set of rational points...
Sei f(x) aus K[x] ein normiertes Polynom vom Grad 2g+1 oder 2g+2 ohne mehrfache Nullstellen über ein...
AbstractWe address the problem of computing in the group of ℓk-torsion rational points of the jacobi...
We describe how the quadratic Chabauty method may be applied to explicitly determine the set of rati...
In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, and Zykin, which allows ...
We introduce an algorithm to compute the rational torsion subgroup of the Jacobian of a hyperellipti...
AbstractA curve C defined over Q is modular of level N if there exists a non-constant morphism from ...
We define modular equations describing the l-torsion subgroups of the Jacobian of a hyperelliptic cu...
We introduce an algorithm to compute the structure of the rational torsion subgroup of the Jacobian ...
International audienceSchoof's classic algorithm allows point-counting for elliptic curves over fini...
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
We describe how the quadratic Chabauty method may be applied to determine the set of rational points...
Sei f(x) aus K[x] ein normiertes Polynom vom Grad 2g+1 oder 2g+2 ohne mehrfache Nullstellen über ein...
AbstractWe address the problem of computing in the group of ℓk-torsion rational points of the jacobi...
We describe how the quadratic Chabauty method may be applied to explicitly determine the set of rati...
In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, and Zykin, which allows ...
We introduce an algorithm to compute the rational torsion subgroup of the Jacobian of a hyperellipti...
AbstractA curve C defined over Q is modular of level N if there exists a non-constant morphism from ...