49 citations · 69 across the 5 of their papers we have counts for
Showing math.AGShow all
3 papers · 1 filter
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.AG2011★ 49 cited
General Tensor Decomposition, Moment Matrices and Applications
Alessandra Bernardi, Jerome Brachat, Pierre Comon +1
The tensor decomposition addressed in this paper may be seen as a generalisation of Singular Value Decomposition of matrices. We consider general multilinear and multihomogeneous t…
math.AG2011
Extensors and the Hilbert scheme
Jerome Brachat, Paolo Lella, Bernard Mourrain +1
The Hilbert scheme parametrizes closed subschemes and families of closed subschemes in the projective space with a fixed Hilbert polynomia…