Generic Zariski surfaces
Geography for surfaces of general type in positive characteristic.
Global function fields with many rational places over the quinary field. II
Greatest common divisors of , in positive characteristic and rational points on curves over finite fields
In our previous work we proved a bound for the , for -units of a function field in characteristic zero. This generalized an analogous bound holding over number fields, proved in [3]. As pointed out by Silverman, the exact analogue does not work for function fields in positive characteristic. In the present work, we investigate possible extensions in that direction; it turns out that under suitable assumptions some of the results still hold. For instance we prove Theorems 2 and 3 below, from...
Groupes de Chow et K-théorie de variétés sur un corps fini.