On singularities of real algebraic sets and applications to kinematics-Reference-Cited by-同舟云学术

On singularities of real algebraic sets and applications to kinematics

Published:2020-01-01 Issue:1 Volume:18 Page:1788-1813
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Diesse Marc¹²

Affiliation:

1. Department of Mathematics and Computer Science, Freie Universität Berlin , Berlin , Germany

2. Faculty of Mechanics and Electronics, Hochschule Heilbronn , Heilbronn , Germany

Abstract

Abstract We address the question of identifying non-smooth points in

V ℝ ( I )

{{\bf{V}}}_{{\mathbb{R}}}(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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0119/pdf

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