Victoria de Quehen

In this talk we will give a non-singular compactification of Hilbert modular surfaces by constructing a particular toric variety for each cusp. Other than the familiar compactification of modular curves this illustrative example is the simplest case...

This introductory talk will use the combinatorial nature of polyhedral cone decompositions to give a concrete construction of toric varieties. This concrete description, along with the fact that they are natural generalizations of projective...

In this talk we will give a non-singular compactification of Hilbert modular surfaces by constructing a particular toric variety for each cusp. Other than the familiar compactification of modular curves this illustrative example is the simplest case...