3 papers
math.CO2026
Corrigendum to "Higher Lorentzian polynomials,...in codimension two" [International Mathematics Research Notices, Volume 2025, Issue 13, July 2025, arXiv:2208.05653]
Pedro Macias Marques, Chris McDaniel, Alexandra Seceleanu
A homogeneous bivariate -form defines an -rowed Toeplitz matrix for each between and . We use Hodge theory and Schur polynomials to prove that if the -r…
math.AC2025
Jordan type of full Perazzo algebras
Pedro Macias Marques, Rosa M. Miró-Roig, Josep Pérez
In this paper, we compute all possible Jordan types of linear forms in any full Perazzo algebra . In some cases we are also able to compute the corresponding Jordan degre…
math.AC2024
Bridging Meadows and Sheaves
João Dias, Bruno Dinis, Pedro Macias Marques
We bridge sheaves of rings over a topological space with common meadows (algebraic structures where the inverse for multiplication is a total operation). More specifically, we show…