2017/06/17 by Ivan Arzhantsev · 5 citations
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #Discrete mathematics #Geometric Analysis and Curvature Flows #Mathematical analysis #Mathematics #Polynomial #Pure mathematics #Trinomial #math.AG #msc:11D41 #msc:14J50 #msc:14M20 #msc:14R20
paper · pdf · doi:10.4064/aa170813-18-2
published in Acta Arithmetica 186(1), 87-99 (Polish Academy of Sciences) · 11 pages
arxiv created 2017/06/17 · openalex publication_date 2018/01/01 · arxiv updated 2018/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove that every rational trinomial affine hypersurface admits a horizontal polynomial curve. This result provides an explicit non-trivial polynomial solution to a trinomial equation. Also we show that a trinomial affine hypersurface admits a Schwarz–H