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Non-isomorphic maximal function fields from Hermitian subfields

Published on:

22 April 2024

Primary Category:

Number Theory

Paper Authors:

Peter Beelen,

Maria Montanucci,

Jonathan Tilling Niemann,

Luciane Quoos

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Key Details

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

AI generated summary

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.

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