Add to ORKGLet XD be the Shimura curve associated with an indefinite rational quaternion algebra of reduced discriminant D>1. For each prime l|D, there is a natural cyclic Galois covering of Shimura curves XD,l → XD constructed by adding certain level structure at l. The main goal of this note is to study the existence of local points at primes p≠l of bad reduction on the intermediate curves of these coverings and their Atkin–Lehner quotients.Peer Reviewe
The main goal of this article is to give an explicit rigid analytic uniformization of the maximal to...
This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second...
We describe an algorithm that computes explicit models of hyperelliptic Shimura curves attached to a...
Let XD be the Shimura curve associated with an indefinite rational quaternion algebra of reduced dis...
Let XDXD be the Shimura curve associated with an indefinite rational quaternion algebra of discrimin...
Let p and q be distinct primes. Consider the Shimura curve Xpq associated to the indefinite quaterni...
Let X_B denote the Shimura curve defined by an indefinite rational quaternion division algebra B. By...
We give an explicit description of fundamental domains associated to the p-adic uniformisa- tion of ...
International audienceUsing a Hurwitz space computation, we determine the canonical model of the cov...
We give some methods for computing equations for certain Shimura curves, natural maps between them, ...
Given an indefinite quaternion algebra of reduced discriminant D and an integer N relatively prime t...
In this thesis we study arithmetic properties of special Shimura curves. We give a p-adic local desc...
Abstract. We give large families of Shimura curves defined by congruence conditions, all of whose tw...
AbstractUsing a Hurwitz space computation, we determine the canonical model of the cover of Shimura ...
The Langlands program is a vast and unifying network of conjectures that connect the world of automo...
The main goal of this article is to give an explicit rigid analytic uniformization of the maximal to...
This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second...
We describe an algorithm that computes explicit models of hyperelliptic Shimura curves attached to a...
Let XD be the Shimura curve associated with an indefinite rational quaternion algebra of reduced dis...
Let XDXD be the Shimura curve associated with an indefinite rational quaternion algebra of discrimin...
Let p and q be distinct primes. Consider the Shimura curve Xpq associated to the indefinite quaterni...
Let X_B denote the Shimura curve defined by an indefinite rational quaternion division algebra B. By...
We give an explicit description of fundamental domains associated to the p-adic uniformisa- tion of ...
International audienceUsing a Hurwitz space computation, we determine the canonical model of the cov...
We give some methods for computing equations for certain Shimura curves, natural maps between them, ...
Given an indefinite quaternion algebra of reduced discriminant D and an integer N relatively prime t...
In this thesis we study arithmetic properties of special Shimura curves. We give a p-adic local desc...
Abstract. We give large families of Shimura curves defined by congruence conditions, all of whose tw...
AbstractUsing a Hurwitz space computation, we determine the canonical model of the cover of Shimura ...
The Langlands program is a vast and unifying network of conjectures that connect the world of automo...
The main goal of this article is to give an explicit rigid analytic uniformization of the maximal to...
This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second...
We describe an algorithm that computes explicit models of hyperelliptic Shimura curves attached to a...