A note on the cactus rank for Segre-Veronese varieties
Edoardo Ballico, Alessandra Bernardi, Fulvio Gesmundo

TL;DR
This paper provides an upper bound for the cactus rank of multi-homogeneous polynomials, advancing understanding of tensor decompositions in algebraic geometry.
Contribution
It introduces a new upper bound for the cactus rank applicable to all multi-homogeneous polynomials, extending previous results.
Findings
Established a universal upper bound for cactus rank
Applied the bound to Segre-Veronese varieties
Enhanced understanding of polynomial tensor decompositions
Abstract
We give an upper bound for the cactus rank of any multi-homogeneous polynomial.
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