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math.AC2018
On minimal decompositions of low rank symmetric tensors
Bernard Mourrain, Alessandro Oneto
We use an algebraic approach to construct minimal decompositions of symmetric tensors with low rank. This is done by using Apolarity Theory and by studying minimal sets of reduced…
math.AC2017
On the Hilbert function of general fat points in
Enrico Carlini, Maria Virginia Catalisano, Alessandro Oneto
We study the bi-graded Hilbert function of ideals of general fat points with same multiplicity in . Our first tool is the multiprojective-affine-pro…