49 citations · 69 across the 5 of their papers we have counts for
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cs.SC2009★ 8 cited
The Hilbert scheme of points and its link with border basis
Mariemi Alonso, Jérome Brachat, Bernard Mourrain
In this paper, we give new explicit representations of the Hilbert scheme of points in $\PP^{r}$ as a projective subvariety of a Grassmanniann variety. This new explicit descri…
cs.SC2009★ 9 cited
Symmetric tensor decomposition
Jerome Brachat, Pierre Comon, Bernard Mourrain +1
We present an algorithm for decomposing a symmetric tensor, of dimension n and order d as a sum of rank-1 symmetric tensors, extending the algorithm of Sylvester devised in 1886 fo…