Polyhedral Methods for Space Curves Exploiting Symmetry Applied to the Cyclic n-roots Problem

DOI10.1007/978-3-319-02297-0_2zbMath1412.13030arXiv1109.0241OpenAlexW1867331624MaRDI QIDQ5168457

Danko Adrovic, Jan Verschelde

Publication date: 7 July 2014

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0241

zbMATH Keywords

symmetryNewton polytopepolynomial systemalgebraic setPuiseux seriespolyhedral methodcyclic \(n\)-rootstropical prevarietytropisminitial formBackelin's Lemma

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Solving polynomial systems; resultants (13P15)

Related Items (7)

On Monomial Reduction and Polynomial Expressions with Respect to Binomial Ideals ⋮ On non-binomial structure of cyclic 8-roots ⋮ Elimination for generic sparse polynomial systems ⋮ The method of Gauss-Newton to compute power series solutions of polynomial homotopies ⋮ Computing Tropical Curves via Homotopy Continuation ⋮ Computing All Space Curve Solutions of Polynomial Systems by Polyhedral Methods ⋮ Pruning Algorithms for Pretropisms of Newton Polytopes

Uses Software

• cdd
• HOM4PS
• Maple
• MixedVol
• PHCpack
• SageMath
• Gfan

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