On singularities of real algebraic sets and applications to kinematics

DOI10.1515/math-2020-0119zbMath1480.14002OpenAlexW3123796906MaRDI QIDQ2053569

Marc Diesse

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0119

zbMATH Keywords

kinematicssingularityreal algebraic geometrylinkage

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Real algebraic sets (14P05) Kinematics of mechanisms and robots (70B15) Real-analytic and semi-analytic sets (14P15) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Uses Software

• SINGULAR
• primdec
• normal.lib
• Stacks Project

Cites Work

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• Generic singular configurations of linkages
• Invitation to topological robotics
• Normalization of rings
• Singularity analysis of planar linkages
• An introduction to real algebra
• Real plane algebraic curves.
• Local reality on algebraic varieties
• A Singular Introduction to Commutative Algebra
• Le théorème des zéros en géométries algébrique et analytique réelles
• Limits of tangent spaces to real surfaces
• Valuations and real places in the theory of formally real fields
• An Efficient Implementation for Computing Gröbner Bases over Algebraic Number Fields

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