Degree bounds for rational generators of invariant fields of finite abelian groups
arxiv(2024)
摘要
We study degree bounds on rational but not necessarily polynomial generators
for the field 𝐤(V)^G of rational invariants of a linear action of a
finite abelian group. We show that lattice-theoretic methods used recently by
the author and collaborators to study polynomial generators for the same field
largely carry over, after minor modifications to the arguments. It then
develops that the specific degree bounds found in that setting also carry over.
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