Fabrício Caluza Machado

activity

20162022

most citedThe Lasserre hierarchy for equiangular lines with a fixed angle

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

math.MG2022★ 1 cited

The Lasserre hierarchy for equiangular lines with a fixed angle

David de Laat, Fabrício Caluza Machado, Willem de Muinck Keizer

We compute the second and third levels of the Lasserre hierarchy for the spherical finite distance problem. A connection is used between invariants in representations of the orthog…

math.MG2021

The null set of a polytope, and the Pompeiu property for polytopes

Fabrício Caluza Machado, Sinai Robins

We study the null set $N (P)$ of the Fourier-Laplace transform of a polytope $P \subset R^{d}$ , and we find that $N (P)$ does not contain (almost…

math.CO2019

Coefficients of the solid angle and Ehrhart quasi-polynomials

Fabrício Caluza Machado, Sinai Robins

Macdonald studied a discrete volume measure for a rational polytope $P$ , called solid angle sum, that gives a natural discrete volume for $P$ . We give a local formula for the codim…

math.OC2018

$k$ -point semidefinite programming bounds for equiangular lines

David de Laat, Fabrício Caluza Machado, Fernando Mário de Oliveira Filho +1

We give a hierarchy of $k$ -point bounds extending the Delsarte-Goethals-Seidel linear programming $2$ -point bound and the Bachoc-Vallentin semidefinite programming $3$ -point bound…

math.OC2016

Improving the semidefinite programming bound for the kissing number by exploiting polynomial symmetry

Fabrício Caluza Machado, Fernando Mário de Oliveira Filho

The kissing number of $R^{n}$ is the maximum number of pairwise-nonoverlapping unit spheres that can simultaneously touch a central unit sphere. Mittelmann and Vallentin (20…