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math.AG2008★ 2 cited
Some remarks on varieties of pairs of commuting upper triangular matrices and an interpretation of commuting varieties
Roberta Basili
It is known that the variety of pairs of n x n commuting upper triangular matrices isn't a complete intersection for infinitely many values of n; we show that there exists m such t…
math.AG2003
On the Irreducibility of Commuting Varieties of Nilpotent Matrices
R. Basili
Given an nxn nilpotent matrix over an algebraically closed field K, we prove some properties of the set of all the nxn nilpotent matrices over K which commute with it. Then we give…