AbstractFor any sufficiently general family of curves over a finite field Fq and any elementary abelian ℓ-group H with ℓ relatively prime to q, we give an explicit formula for the proportion of curves C for which Jac(C)[ℓ](Fq)≅H. In doing so, we prove a conjecture of Friedman and Washington
The Cohen-Lenstra-Martinet Heuristics gives a prediction of the distribution of $\operatorname{Cl}_K...
AbstractLet M be a nonconstant polynomial in the polynomial ring RT=Fq[T] over the finite field Fq. ...
AbstractLet F be a finite field with q elements, and T a transcendental element over F. In this pape...
AbstractFor any sufficiently general family of curves over a finite field Fq and any elementary abel...
For any sufciently general family of curves over a nite eld Fq and any elementary abelian `-group H ...
Classical results due to Katz and Sarnak show that if the genus is fixed and q tends to infinity, th...
We prove several results concering class groups of number fields and function fields. Firstly we com...
We prove several results concering class groups of number fields and function fields. Firstly we com...
Fix a prime number $p$. Let $\mathbb{F}_q$ be a finite field of characteristic coprime to 2, 3, and ...
We resolve a 1983 question of Serre by constructing curves with many points of every genus over ever...
AbstractIn this article we recall how to describe the twists of a curve over a finite field and we s...
Using maximal isotropic submodules in a quadratic module over Z[subscript p], we prove the existence...
We determine the probability that a randomly chosen elliptic curve E/\mathbb{F}_{p} over a rand...
We study the quantitative behaviour of genus numbers of abelian extensions of number fields with giv...
Abstract. Using maximal isotropic submodules in a quadratic module over Zp, we prove the existence o...
The Cohen-Lenstra-Martinet Heuristics gives a prediction of the distribution of $\operatorname{Cl}_K...
AbstractLet M be a nonconstant polynomial in the polynomial ring RT=Fq[T] over the finite field Fq. ...
AbstractLet F be a finite field with q elements, and T a transcendental element over F. In this pape...
AbstractFor any sufficiently general family of curves over a finite field Fq and any elementary abel...
For any sufciently general family of curves over a nite eld Fq and any elementary abelian `-group H ...
Classical results due to Katz and Sarnak show that if the genus is fixed and q tends to infinity, th...
We prove several results concering class groups of number fields and function fields. Firstly we com...
We prove several results concering class groups of number fields and function fields. Firstly we com...
Fix a prime number $p$. Let $\mathbb{F}_q$ be a finite field of characteristic coprime to 2, 3, and ...
We resolve a 1983 question of Serre by constructing curves with many points of every genus over ever...
AbstractIn this article we recall how to describe the twists of a curve over a finite field and we s...
Using maximal isotropic submodules in a quadratic module over Z[subscript p], we prove the existence...
We determine the probability that a randomly chosen elliptic curve E/\mathbb{F}_{p} over a rand...
We study the quantitative behaviour of genus numbers of abelian extensions of number fields with giv...
Abstract. Using maximal isotropic submodules in a quadratic module over Zp, we prove the existence o...
The Cohen-Lenstra-Martinet Heuristics gives a prediction of the distribution of $\operatorname{Cl}_K...
AbstractLet M be a nonconstant polynomial in the polynomial ring RT=Fq[T] over the finite field Fq. ...
AbstractLet F be a finite field with q elements, and T a transcendental element over F. In this pape...
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