Abstract

GARZON, ÁLVARO. A family of Kummer covers over the hermitian function field. Rev.colomb.mat. [online]. 2008, vol.42, n.1, pp.73-84. ISSN 0034-7426.

We construct a family of Kummer covers over the Hermitian Function Field by using a class of polynomials t₂(X,Y) wich arises as a generalization of certain simmetryc polynomials s₂(X). The number of rational places of such covers is often rather close to the best value listed in [6].

Keywords : Finite fields; algebraic function fields; rational places; hermitian function field; Kummer extensions.

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