2 papers
math.AG2024
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…
math.AC2024
On schemes evinced by generalized additive decompositions and their regularity
Alessandra Bernardi, Alessandro Oneto, Daniele Taufer
We define and explicitly construct schemes evinced by generalized additive decompositions (GADs) of a given -homogeneous polynomial . We employ GADs to investigate the regula…