Télécharger Le Fichier.pdf

PSS2021_HALversion.pdf
Preview of Télécharger le fichier
🔗 Source: hal.sorbonne-universite.fr
📊 Size: 3.75 MB
👤 Author: Rémi Prébet, Mohab Safey El Din, Éric Schost
⬇️ Downloads: 67

Summary

Rémi Prébet, Mohab Safey El Din, and Éric Schost's paper "Generalized polar varieties, fibers and connectivity in unbounded smooth real algebraic sets" extends existing connectivity statements in real algebraic geometry by dropping the boundedness assumption on the algebraic set V. The authors introduce generalized polar varieties, which are critical loci of V for well-chosen polynomial maps, and establish connectivity properties of subsets of V using these varieties. The paper tackles the problem of answering connectivity queries in real algebraic sets, which has applications in robotics and motion planning.

Description

Rémi Prébet, Mohab Safey El Din, and Éric Schost's paper "Generalized polar varieties, fibers and connectivity in unbounded smooth real algebraic sets" extends...

Technical Information

  • File Format: PDF
  • File Size: 3.75 MB
  • Pages: 25
  • Language: EN
  • Author: Rémi Prébet, Mohab Safey El Din, Éric Schost
  • Total Downloads: 67
  • Last Updated: 1 week ago

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