2 papers
math.NT2018
Explicit genus formula for any separable cubic global function field
Sophie Marques, Jacob Ward
In the present work, we determine explicitly the genus of any separable cubic extension of any global function field given the minimal polynomial of the extension. We give algorith…
math.NT2018
Arithmetic actions on cyclotomic function fields
Aristides Kontogeorgis, Jacob Kenneth Ward
We derive the group structure for cyclotomic function fields obtained by applying the Carlitz action for extensions of an initial constant field. The tame and wild structures are i…