4 papers · 1 filter
The geometry of the moduli Space of non-cyclic biquadratic field extensions
Mpendulo Cele, Sophie Marques
In this paper, we investigate the existence of an elementary abelian closure in characteristic not for biquadratic extensions. We discover that it exists for any non-cyclic ext…
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…
An explicit triangular integral basis for any separable cubic extension of a function field
Sophie Marques, Kenneth Ward
We determine an explicit triangular integral basis for any separable cubic extension of a rational function field over a finite field in any characteristic. We obtain a formula for…
Generic polynomials for cyclic function field extensions over certain finite fields
Sophie Marques
In this paper, we find all the generic polynomials for geometric -cyclic function field extensions over the finite fields where , prime integer suc…