Alexey Zaytsev, Gary McGuire
Published 2009-06-29, updated 2011-05-23Version 3
In this paper we derive a recursion for the zeta function of each function field in the second Garcia-Stichtenoth tower when $q=2$. We obtain our recursion by applying a theorem of Kani and Rosen that gives information about the decomposition of the Jacobians. This enables us to compute the zeta functions explicitly of the first six function fields.
Isotriviality is equivalent to potential good reduction for endomorphisms of ${\mathbb P}^N$ over function fields
Log Fano varieties over function fields of curves
Positivity of heights of codimension 2 cycles over function field of characteristic 0
![QR code for arXiv:0906.5252 [math.AG]](http://oss.arxitics.com/images/favicon.svg)