Castrillón López, MarcoGadea, P.M.Muñoz Masqué, Jaime2023-06-202023-06-2019990278-5307https://hdl.handle.net/20.500.14352/58909The paper is a survey of several results by the authors, the main one of them being the following characterization of homogeneous algebraic distributions: Let us consider a vertical distribution D on the vector bundle p:E→M locally spanned by vertical vector fields X1,⋯,Xr. Let χ be the Liouville vector field of the vector bundle. Then there exists an r×r invertible matrix with smooth entries (cij) such that the vector fields Yj=∑ri=1cijXi, 1≤j≤r, are homogeneous algebraic of degree d if and only if there exists an r×r matrix A=(aij) of smooth functions given by [χ,Xj]=∑ri=1aijXi such that A restricted to the zero section of E is(d−1) times the identity matrix. Examples and applications are given.engjournal articlehttp://www.ara-as.org/index.php/lm/article/view/809/681http://www.ara-as.org/index.php/lm/indexrestricted access511.33homogeneous polynomials.Teoría de númerosAnálisis numérico1205 Teoría de Números1206 Análisis Numérico