On a tower of Ihara and its limit

Arnaldo Garcia | Caro, Nicolás

Keywords: function fields | finite fields | towers | rational points | genus | Zink's bound

We give a simple proof describing the asymptotic behaviour (the limit) of a tower of Ihara. This tower of function fields is defined over any cubic finite field and it attains Zink's lower bound.

Anexos:

• On_a_Tower.pdf