English

Beyond Polyhedral Homotopies

Algebraic Geometry 2017-06-13 v1 Symbolic Computation

Abstract

We present a new algorithmic framework which utilizes tropical geometry and homotopy continuation for solving systems of polynomial equations where some of the polynomials are generic elements in linear subspaces of the polynomial ring. This approach generalizes the polyhedral homotopies by Huber and Sturmfels.

Keywords

Cite

@article{arxiv.1706.03520,
  title  = {Beyond Polyhedral Homotopies},
  author = {Anton Leykin and Josephine Yu},
  journal= {arXiv preprint arXiv:1706.03520},
  year   = {2017}
}

Comments

8 pages, 1 figure

R2 v1 2026-06-22T20:15:45.693Z