Add to ORKGInternational audienceUsing a Hurwitz space computation, we determine the canonical model of the cover of Shimura curves $X_0(2) \to X(1)$ associated to the quaternion algebra over the cubic field of discriminant~$13^2$, which is ramified at exactly two real places and unramified at finite places. Then, we list the coordinates of some rational CM points on~$X(1)$
We give an explicit description of fundamental domains associated to the p-adic uniformisa- tion of ...
The main purpose of this dissertation is to introduce Shimura curves from the non-Archimedean point ...
We gather experimental evidence related to the question of deciding whether a smooth plane quartic c...
Summary — Using a Hurwitz space computation, we determine the canonical model of the cover of Shimur...
AbstractUsing a Hurwitz space computation, we determine the canonical model of the cover of Shimura ...
We give some methods for computing equations for certain Shimura curves, natural maps between them, ...
Let XDXD be the Shimura curve associated with an indefinite rational quaternion algebra of discrimin...
Shimura curves are a far-reaching generalization of the classical modular curves. They lie at the cr...
Let X_B denote the Shimura curve defined by an indefinite rational quaternion division algebra B. By...
Let XD be the Shimura curve associated with an indefinite rational quaternion algebra of reduced dis...
In 1983, Kisao Takeuchi enumerated all 71 arithmetic (1;e)-groups. This is a special set of discrete...
We describe an algorithm that computes explicit models of hyperelliptic Shimura curves attached to a...
The j-function acts as a parametrization of the classical modular curve. Its values at complex multi...
This dissertation is concerned with problems related to unlikely intersections and is divided into t...
In this thesis we study arithmetic properties of special Shimura curves. We give a p-adic local desc...
We give an explicit description of fundamental domains associated to the p-adic uniformisa- tion of ...
The main purpose of this dissertation is to introduce Shimura curves from the non-Archimedean point ...
We gather experimental evidence related to the question of deciding whether a smooth plane quartic c...
Summary — Using a Hurwitz space computation, we determine the canonical model of the cover of Shimur...
AbstractUsing a Hurwitz space computation, we determine the canonical model of the cover of Shimura ...
We give some methods for computing equations for certain Shimura curves, natural maps between them, ...
Let XDXD be the Shimura curve associated with an indefinite rational quaternion algebra of discrimin...
Shimura curves are a far-reaching generalization of the classical modular curves. They lie at the cr...
Let X_B denote the Shimura curve defined by an indefinite rational quaternion division algebra B. By...
Let XD be the Shimura curve associated with an indefinite rational quaternion algebra of reduced dis...
In 1983, Kisao Takeuchi enumerated all 71 arithmetic (1;e)-groups. This is a special set of discrete...
We describe an algorithm that computes explicit models of hyperelliptic Shimura curves attached to a...
The j-function acts as a parametrization of the classical modular curve. Its values at complex multi...
This dissertation is concerned with problems related to unlikely intersections and is divided into t...
In this thesis we study arithmetic properties of special Shimura curves. We give a p-adic local desc...
We give an explicit description of fundamental domains associated to the p-adic uniformisa- tion of ...
The main purpose of this dissertation is to introduce Shimura curves from the non-Archimedean point ...
We gather experimental evidence related to the question of deciding whether a smooth plane quartic c...