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arXiv 2202.07002math.ACmath.AGmath.RT
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可对角化作用的分离单项式

Separating monomials for diagonalizable actions

M. Domokos

备注：
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
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摘要：

利用特征标群上的零和序列么半群刻画了在可对角化群作用下分离Zenki闭轨道的单项式集.这是适用于比较度界分离不变量和生成不变量的可对角化群作用。

英文摘要：

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.

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