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math.AG2012★ 3 cited
A comparison of different notions of ranks of symmetric tensors
Alessandra Bernardi, Jérôme Brachat, Bernard Mourrain
We introduce various notions of rank for a symmetric tensor, namely: rank, border rank, catalecticant rank, generalized rank, scheme length, border scheme length, extension rank an…
math.AG2012★ 29 cited
Homological techniques for the analysis of the dimension of triangular spline spaces
Bernard Mourrain, Nelly Villamizar
The spline space attached to a subdivided domain of is the vector space of functions of class which are polynomials of degree on each piece…