Add to ORKGInternational audienceWe present an algorithm for the computation of period matrices and the Abel-Jacobi map of complex superelliptic curves given by an equation y m = f (x). It relies on rigorous numerical integration of differentials between Weierstrass points, which is done using Gauss method if the curve is hyperelliptic (m = 2) or the Double-Exponential method. The algorithm is implemented and makes it possible to reach thousands of digits accuracy even on large genus curves
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
In this paper we show a two-dimensional variant of the classical Jacobi formula between a theta cons...
We derive an explicit method of computing the composition step in Cantor’s algorithm for group opera...
International audienceWe present an algorithm for the computation of period matrices and the Abel-Ja...
To an algebraic curve C over the complex numbers one can associate a non-negative integer g, the gen...
The Abel-Jacobi map links the short Weierstrass form of a complex elliptic curve to the complex toru...
We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to...
The aim of this paper is to present theoretical basis for computing a representation of a compact Ri...
Abstract. We present an algorithm that computes the Hasse–Witt matrix of given hy-perelliptic curve ...
International audienceWe describe an algorithm to compute the cardinality of Jacobians of ordinary h...
Integration of functions are approximations of the area that the functions cover. Matrices are simil...
Abstract. We present a computational approach to general hyperelliptic Rie-mann surfaces in Weierstr...
AbstractIn general there is no normalized form for the period matrix of an algebraic curve. For real...
Abstract. We describe an algorithm to compute the cardinality of Jacobians of ordi-nary hyperellipti...
We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves;...
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
In this paper we show a two-dimensional variant of the classical Jacobi formula between a theta cons...
We derive an explicit method of computing the composition step in Cantor’s algorithm for group opera...
International audienceWe present an algorithm for the computation of period matrices and the Abel-Ja...
To an algebraic curve C over the complex numbers one can associate a non-negative integer g, the gen...
The Abel-Jacobi map links the short Weierstrass form of a complex elliptic curve to the complex toru...
We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to...
The aim of this paper is to present theoretical basis for computing a representation of a compact Ri...
Abstract. We present an algorithm that computes the Hasse–Witt matrix of given hy-perelliptic curve ...
International audienceWe describe an algorithm to compute the cardinality of Jacobians of ordinary h...
Integration of functions are approximations of the area that the functions cover. Matrices are simil...
Abstract. We present a computational approach to general hyperelliptic Rie-mann surfaces in Weierstr...
AbstractIn general there is no normalized form for the period matrix of an algebraic curve. For real...
Abstract. We describe an algorithm to compute the cardinality of Jacobians of ordi-nary hyperellipti...
We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves;...
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
In this paper we show a two-dimensional variant of the classical Jacobi formula between a theta cons...
We derive an explicit method of computing the composition step in Cantor’s algorithm for group opera...