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Kangning Wei

Bio: Kangning Wei is an academic researcher. The author has contributed to research in topics: Pencil (optics) & Pencil (mathematics). The author has co-authored 1 publications.
Topics: Pencil (optics), Pencil (mathematics), Integrable system, Pure mathematics, Mathematics
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Involutions of Halphen Pencils of Index 2 and Discrete Integrable Systems

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Kangning Wei
07 May 2021-arXiv: Exactly Solvable and Integrable Systems
TL;DR: In this article, the authors constructed the birational mapping corresponding to the autonomous reduction of the elliptic Painleve equation for a Halphen pencil of index 2, and proved that the same pencil can be obtained as the composition of two such involutions.
Abstract: We constructed involutions for a Halphen pencil of index 2, and proved that the birational mapping corresponding to the autonomous reduction of the elliptic Painleve equation for the same pencil can be obtained as the composition of two such involutions.