We construct a finite analogue of classical Siegel's Space. This is made by generalizing Poincare half plane construction for a quadratic field extension E superset of F, considering in this case an involutive ring A, ...

We construct a finite analogue of classical Siegel’s Space. This is made by generalizing Poincar´e half plane construction for a quadratic field extension E ⊃ F, considering in this case an involutive ring A, extension ...

We prove that given a finite group G together with a set of fixed geometric generators, there is a family of special hyperbolic polygons that uniformize the Riemann surfaces admitting the action of G with the given geometric ...