Semi-stable locus of a group compactification
classification
🧮 math.AG
math.RT
keywords
compactificationgrouplocussemi-stableactionadjointcalculateconnected
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In this paper, we consider the diagonal action of a connected semisimple group of adjoint type on its wonderful compactification. We show that the semi-stable locus is a union of the $G$-stable pieces and we calculate the geometric quotient.
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