Proves new degree bounds for fields of rational invariants of finite group representations using Euclidean lattices and Minkowski's geometry of numbers theorem.
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The paper determines the separating Noether number sepbeta(G) exactly for finite abelian groups of rank 4 and solves the inverse problem for rank 2 while studying monoid properties and minimal sizes of monomial separating sets.
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Geometry of numbers and degree bounds for rational invariants
Proves new degree bounds for fields of rational invariants of finite group representations using Euclidean lattices and Minkowski's geometry of numbers theorem.
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On separating sets of polynomial invariants of finite abelian group actions
The paper determines the separating Noether number sepbeta(G) exactly for finite abelian groups of rank 4 and solves the inverse problem for rank 2 while studying monoid properties and minimal sizes of monomial separating sets.