Cubic Pencils and Painlevé Hamiltonians

2004/03/08 by Kenji Kajiwara, Kajiwara, Kenji, Tetsu Masuda +7
Computer Science · Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematics and Applications #Nonlinear Waves and Solitons #Polynomial and algebraic computation #hep-th #math.AG #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0403009

9 pages with 1 figure in EPS

arxiv created 2004/03/08 · openalex publication_date 2004/03/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a simple heuristic method to derive the Painlevé differential equations from the corresponding geometry of rational surafces. We also give a direct relationship between the cubic pencils and Seiberg-Witten curves.

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