3 papers
math.AC2026
Determinantal computation of minimal local GADs
Oriol Reig Fité, Daniele Taufer
We study local generalized additive decompositions (GADs) of homogeneous polynomials and their associated points schemes through their local inverse systems. We verify that their c…
math.AG2025
A refinement on the local cactus rank algorithm
Alessandra Bernardi, Oriol Reig Fité
We present an algorithm to recover a minimal local apolar scheme to a homogeneous polynomial . The socle degree of the scheme determines whether it is evinced by a Generalized A…
math.AG2025
Computing Path Signature Varieties in Macaulay2
Carlos Améndola, Angelo El Saliby, Felix Lotter +1
The signature of a path is a non-commutative power series whose coefficients are given by certain iterated integrals over the path coordinates. This series almost uniquely characte…