3 papers
math.AG2025
Waring decompositions of special binomials
Luca Chiantini, Fulvio Gesmundo, Sara Marziali
We determine the Waring rank of homogeneous polynomials of the form where is a linear form. The result is based on the study of the Hilbert function…
math.AG2025
Weddle loci of linear systems of quadrics and the rank of partially symmetric tensors
Luca Chiantini, Filippo Fagioli
We establish a connection between properties of partially symmetric tensors (i.e. tensors associated to linear systems of quadric hypersurfaces) and the geometry of some related lo…
math.AG2025
Product of Tensors and Description of Networks
Luca Chiantini, Giuseppe Alessio D'Inverno, Sara Marziali
Any kind of network can be naturally represented by a Directed Acyclic Graph (DAG); additionally, activation functions can determine the reaction of each node of the network with r…