Current browse context:
math.NT
Change to browse by:
References & Citations
Mathematics > Number Theory
Title: Some families of non-isomorphic maximal function fields
(Submitted on 22 Apr 2024)
Abstract: The problem of understanding whether two given function fields are isomorphic is well-known to be difficult, particularly when the aim is to prove that an isomorphism does not exist. In this paper we investigate a family of maximal function fields that arise as Galois subfields of the Hermitian function field. We compute the automorphism group, the Weierstrass semigroup at some special rational places and the isomorphism classes of such function fields. In this way, we show that often these function fields provide in fact examples of maximal function fields with the same genus, the same automorphism group, but that are not isomorphic.
Link back to: arXiv, form interface, contact.