We describe the action of the full automorphisms group on the Fermat curve of degree N. For N prime, we obtain the group algebra decomposition of the corresponding Jacobian variety.

El objetivo del presente trabajo es estudiar la demostración del Último Teorema de Fermat. En la primera parte se hablará acerca de las curvas elípticas y sus propiedades. Se mostrará cómo estas se relacionan a hipotéticas ...

The isogenous decomposition of the Jacobian variety of classical Fermat curve of prime degree p >= 5 has been obtained by Aoki using techniques of number theory, by Barraza and Rojas in terms of decompositions of the algebra ...

Let K be an algebraically closed field of characteristic p >= 0. A generalized Fermat curve of type (k, n), where k, n >= 2 are integers (for p not equal 0 we also assume that k is relatively prime to p), is a non-singular ...

The solution to Fermat's Last Theorem was announced by Wiles (Cambridge, June 23, 1993) as a consequence of his proof of the Shimura- Taniyama- Weil conjecture for semi-stable elliptic curves.