Published on:
22 April 2024
Primary Category:
Number Theory
Paper Authors:
Peter Beelen,
Maria Montanucci,
Jonathan Tilling Niemann,
Luciane Quoos
Investigates maximal function fields from Hermitian subfields
Computes automorphism groups and Weierstrass semigroups
Shows function fields are often non-isomorphic with same invariants
Determines number of isomorphism classes based on factorization of q+1
Non-isomorphic maximal function fields from Hermitian subfields
This paper investigates a family of maximal function fields arising as subfields of the Hermitian function field. It is shown that these function fields often provide examples of non-isomorphic maximal function fields with the same genus and automorphism group.
Weierstrass semigroups and symmetry group of a maximal function field
Key ideas on subrings of fields
Summarizing key results on maximal varieties
On the structure of algebras of Dirichlet series invariant under permutations
Fefferman-Stein inequality on Shilov boundaries
Fundamental contributions of the Jacobi field method to maximal totally real embeddings
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