Title:
On singularities of real algebraic sets and applications to kinematics
Year of publication:
2020
Available Date:
2021-02-16T12:59:44Z
Abstract:
We address the question of identifying non-smooth points in VR(I) the real part of an affine algebraic variety. Two simple algebraic criteria will be formulated and proven. As an application, we investigate the configuration spaces of the planar four-bar linkage and the delta robot and prove that all singularities are CS-singularities.
Part of Identifier:
e-ISSN (online): 2391-5455
ZDB-ID: 2818690-4
Keywords:
real algebraic geometry
singularities
planar linkages
kinematics
DDC-Classification:
510 Mathematik
Publication Type:
Wissenschaftlicher Artikel
URL of the Original Publication:
DOI of the Original Publication:
Journaltitle:
Open Mathematics
Department/institution:
Mathematik und Informatik
Institut für Mathematik
Comments:
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
