Journal ArticleOPEN ACCESS

Cubic Pencils and Painlevé Hamiltonians

  • Kajiwara K
  • Masuda T
  • Noumi M
  • et al.
Funkcialaj Ekvacioj (2005) 48(1) 147-160
DOI: 10.1619/fesi.48.147
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Abstract

We present a simple heuristic method to derive the Painlev\'e 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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Kajiwara, K., Masuda, T., Noumi, M., Ohta, Y., & Yamada, Y. (2005). Cubic Pencils and Painlevé Hamiltonians. Funkcialaj Ekvacioj, 48(1), 147–160. https://doi.org/10.1619/fesi.48.147

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