1 citations · 1 across the 3 of their papers we have counts for
3 papers
Decomposition loci of tensors
Alessandra Bernardi, Alessandro Oneto, Pierpaola Santarsiero
The decomposition locus of a tensor is the set of rank-one tensors appearing in a minimal tensor-rank decomposition of the tensor. For tensors lying on the tangential variety of an…
Waring decompositions of special ternary forms with different Hilbert functions
Elena Angelini, Luca Chiantini, Alessandro Oneto
We prove the existence of ternary forms admitting apolar sets of points of cardinality equal to the Waring rank, but having different Hilbert function and different regularity. Thi…
Minkowski sums and Hadamard products of algebraic varieties
Netanel Friedenberg, Alessandro Oneto, Robert L. Williams
We study Minkowski sums and Hadamard products of algebraic varieties. Specifically we explore when these are varieties and examine their properties in terms of those of the origina…