Add to ORKGAbstract. In this article, we construct algebraic equations for a curve C and a map f to an elliptic curve E, with pre-specified branching data. We do this by determining certain relations that the periods of C and E must satisfy and using these relations to approximate the coefficients to high precision. We then conjecture which algebraic numbers the coefficients are, and then we prove this conjecture to be correct. 1
International audienceWe explain how to compute the equations of the abelian coverings of any curve ...
We present a simple and efficient algorithm to compute the sum of the algebraic conjugates of a poin...
Integration of functions are approximations of the area that the functions cover. Matrices are simil...
Abstract. A well-known and difficult problem in computational number theory and al-gebraic geometry ...
In this dissertation, we present a collection of results regarding the arithmetic of algebraic curve...
We give an account of the complex Arithmetic–Geometric Mean (AGM), as first studied by Gauss, togeth...
AbstractThe index of a curve is the smallest positive degree of divisors which are rational over a f...
The Langlands Programme predicts that a weight 2 newform f over a number eld K with integer Hecke ei...
Let E be a modular elliptic curve over a totally real eld. Chapter 8 of [Dar2] formulates a conjec...
Treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic ...
Let E/F be an elliptic curve defined over a number field F. Suppose that E has complex multiplicatio...
Elliptic curves constitute one of the main topics of this book. They have been proposed for applicat...
The purpose of the present text is to give an elementary introduction to the arithmetic of elliptic ...
This volume contains a collection of papers on algebraic curves and their applications. While algebr...
We describe the hyperplane sections of the Severi variety of curves in ExP1 in a similar fashion to ...
International audienceWe explain how to compute the equations of the abelian coverings of any curve ...
We present a simple and efficient algorithm to compute the sum of the algebraic conjugates of a poin...
Integration of functions are approximations of the area that the functions cover. Matrices are simil...
Abstract. A well-known and difficult problem in computational number theory and al-gebraic geometry ...
In this dissertation, we present a collection of results regarding the arithmetic of algebraic curve...
We give an account of the complex Arithmetic–Geometric Mean (AGM), as first studied by Gauss, togeth...
AbstractThe index of a curve is the smallest positive degree of divisors which are rational over a f...
The Langlands Programme predicts that a weight 2 newform f over a number eld K with integer Hecke ei...
Let E be a modular elliptic curve over a totally real eld. Chapter 8 of [Dar2] formulates a conjec...
Treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic ...
Let E/F be an elliptic curve defined over a number field F. Suppose that E has complex multiplicatio...
Elliptic curves constitute one of the main topics of this book. They have been proposed for applicat...
The purpose of the present text is to give an elementary introduction to the arithmetic of elliptic ...
This volume contains a collection of papers on algebraic curves and their applications. While algebr...
We describe the hyperplane sections of the Severi variety of curves in ExP1 in a similar fashion to ...
International audienceWe explain how to compute the equations of the abelian coverings of any curve ...
We present a simple and efficient algorithm to compute the sum of the algebraic conjugates of a poin...
Integration of functions are approximations of the area that the functions cover. Matrices are simil...