2018/09/04 by Zvi Rosen, Jessica Sidman, Rosen, Zvi +3 · 7 citations
Computer Science · Engineering · Mathematics · #Advanced Materials and Mechanics #Algebra over a field #Algebraic cycle #Algebraic number #Computational Geometry and Mesh Generation #Dimension of an algebraic variety #Discrete mathematics #Formalism (music) #Mathematics #Matroid #Pure mathematics #Real algebraic geometry #Structural Analysis and Optimization
paper · doi:10.1080/00029890.2020.1689781
openalex publication_date 2020/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In recent years, various notions of algebraic independence have emerged as a central and unifying theme in a number of areas of applied mathematics, including algebraic statistics and the rigidity theory of bar-and-joint frameworks. In each of these settings, the fundamental problem is to determine the extent to which certain unknowns depend algebraically on given data. This has, in turn, led to a resurgence of interest in algebraic matroids, which are the combinatorial formalism for algebraic (in)dependence. We give a self-contained introduction to algebraic matroids together with examples highlighting their potential application.