We discuss the computation of coefficients of the L-series associated to a hyperelliptic curve over Q of genus at most 3, using point counting, generic group algorithms, and p-adic methods.Comment: 15 pages, corrected minor typo
We complete the computation of all $\mathbb{Q}$-rational points on all the $64$ maximal Atkin-Lehner...
In this thesis we consider the problem of computing the zeta function and the number of rational poi...
We describe a practical algorithm for computing Brauer-Manin obstructions to the existence of ratio...
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves;...
In this note we correct a gap in the proof of the complexity estimates appearing in our papers [1],[...
We describe an algorithm to compute the local Coleman-Gross p-adic height at p on a hyperelliptic cu...
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Given a curve of genus at least 2, it was proven in 1983 by Faltings that it has only finitely many ...
Le comptage de points de courbes algébriques est une primitive essentielle en théorie des nombres, a...
We present an algorithm to compute the zeta function of an arbitrary hyperelliptic curve over a fini...
For a fixed q and any n ≥ 1, the number of F_{q^n} -points on a hyperelliptic curve over F_q of genu...
We complete the computation of all $\mathbb{Q}$-rational points on all the $64$ maximal Atkin-Lehner...
In this thesis we consider the problem of computing the zeta function and the number of rational poi...
We describe a practical algorithm for computing Brauer-Manin obstructions to the existence of ratio...
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves;...
In this note we correct a gap in the proof of the complexity estimates appearing in our papers [1],[...
We describe an algorithm to compute the local Coleman-Gross p-adic height at p on a hyperelliptic cu...
The use in cryptography of the group structure on elliptic curves or the jacobians of hyperelliptic ...
International audienceWe present a probabilistic Las Vegas algorithm for computing the local zeta fu...
Guo and Yang give defining equations for all geometrically hyperelliptic Shimura curves $X_0(D,N)$. ...
This article generalizes the geometric quadratic Chabauty method, initiated over $\mathbb{Q}$ by Edi...
Given a curve of genus at least 2, it was proven in 1983 by Faltings that it has only finitely many ...
Le comptage de points de courbes algébriques est une primitive essentielle en théorie des nombres, a...
We present an algorithm to compute the zeta function of an arbitrary hyperelliptic curve over a fini...
For a fixed q and any n ≥ 1, the number of F_{q^n} -points on a hyperelliptic curve over F_q of genu...
We complete the computation of all $\mathbb{Q}$-rational points on all the $64$ maximal Atkin-Lehner...
In this thesis we consider the problem of computing the zeta function and the number of rational poi...
We describe a practical algorithm for computing Brauer-Manin obstructions to the existence of ratio...
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