Separating monomials for diagonalizable actions
Commutative Algebra
2022-03-11 v3 Algebraic Geometry
Representation Theory
Abstract
Sets of monomials separating Zariski closed orbits under diagonalizable group actions are characterized in terms of the monoid of zero-sum sequences over the character group. This is applied to compare the degree bounds for separating invariants and generating invariants of diagonalizable group actions.
Keywords
Cite
@article{arxiv.2202.07002,
title = {Separating monomials for diagonalizable actions},
author = {M. Domokos},
journal= {arXiv preprint arXiv:2202.07002},
year = {2022}
}
Comments
Version 3: references added to Section 4 and minor editing. Version 2: Related prior results of Dufresne and Jeffries are taken into account. Some of the statements are sharpened or generalized. Monoid theoretic content is clarified