On local real algebraic geometry and applications to kinematics
Algebraic Geometry
2019-08-07 v2 Robotics
Commutative Algebra
Abstract
We address the question of identifying non-smooth points in affine real algebraic varieties. A simple algebraic criterion will be formulated and proven. As an application we can answer several questions about the configuration spaces of some class of planar linkages.
Keywords
Cite
@article{arxiv.1907.12134,
title = {On local real algebraic geometry and applications to kinematics},
author = {Marc Diesse},
journal= {arXiv preprint arXiv:1907.12134},
year = {2019}
}
Comments
additional section on higher dimensional algebraic sets