English

Computing Arrangements of Hypersurfaces

Mathematical Software 2025-11-26 v1 Computational Geometry Algebraic Geometry

Abstract

We present a Julia package HypersurfaceRegions.jl for computing all connected components in the complement of an arrangement of real algebraic hypersurfaces in Rn\mathbb{R}^n.

Cite

@article{arxiv.2409.09622,
  title  = {Computing Arrangements of Hypersurfaces},
  author = {Paul Breiding and Bernd Sturmfels and Kexin Wang},
  journal= {arXiv preprint arXiv:2409.09622},
  year   = {2025}
}

Comments

16 pages, 6 figures

R2 v1 2026-06-28T18:45:00.808Z