AbstractUsing a Hurwitz space computation, we determine the canonical model of the cover of Shimura curves X0(2)→X(1) associated to the quaternion algebra over the cubic field of discriminant 132, 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)
In this thesis we study arithmetic properties of special Shimura curves. We give a p-adic local desc...
In attempting to solve the regular inverse Galois problem for arbitrary subfields K of C (particular...
Consider a family of degree m cyclic covers of the projective line, with any number of branch points...
Summary — Using a Hurwitz space computation, we determine the canonical model of the cover of Shimur...
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 XD be the Shimura curve associated with an indefinite rational quaternion algebra of reduced dis...
Let X_B denote the Shimura curve defined by an indefinite rational quaternion division algebra B. By...
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...
This dissertation is concerned with problems related to unlikely intersections and is divided into t...
The j-function acts as a parametrization of the classical modular curve. Its values at complex multi...
AbstractWe describe a general method for the study and computation of Hurwitz spaces of curves of an...
We gather experimental evidence related to the question of deciding whether a smooth plane quartic c...
In this thesis we study arithmetic properties of special Shimura curves. We give a p-adic local desc...
In attempting to solve the regular inverse Galois problem for arbitrary subfields K of C (particular...
Consider a family of degree m cyclic covers of the projective line, with any number of branch points...
Summary — Using a Hurwitz space computation, we determine the canonical model of the cover of Shimur...
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 XD be the Shimura curve associated with an indefinite rational quaternion algebra of reduced dis...
Let X_B denote the Shimura curve defined by an indefinite rational quaternion division algebra B. By...
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...
This dissertation is concerned with problems related to unlikely intersections and is divided into t...
The j-function acts as a parametrization of the classical modular curve. Its values at complex multi...
AbstractWe describe a general method for the study and computation of Hurwitz spaces of curves of an...
We gather experimental evidence related to the question of deciding whether a smooth plane quartic c...
In this thesis we study arithmetic properties of special Shimura curves. We give a p-adic local desc...
In attempting to solve the regular inverse Galois problem for arbitrary subfields K of C (particular...
Consider a family of degree m cyclic covers of the projective line, with any number of branch points...
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