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On the Commuting variety of a reductive Lie algebra and other related varieties
polynomial algebra complex commuting variety desingularization Gorenstein Cohen-Macaulay rational singularities cohomology
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2012/4/18
In this note, one discusses about some varieties which are constructed analogously to the isospectral commuting varieties. These varieties are subvarieties of varieties having very simple desingulariz...
Irregular locus of the commuting variety of reductive symmetric Lie algebras and rigid pairs
Irregular locus of the commuting variety reductive symmetric Lie algebras and rigid pairs
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2010/11/29
The aim of this paper is to describe the irregular locus of the commuting variety of a reductive symmetric Lie algebra. More precisely, we want to enlighten a remark of Popov. In [Po], the irregular l...