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Involutions of halphen pencils of index 2 and discrete integrable systems
Involutions of halphen pencils of index 2 and discrete integrable systems
Wei, Kangning
FG Geometrie und Mathematische Physik
We constructed involutions for a Halphen pencil of index 2, and proved that the birational mapping corresponding to the autonomous reduction of the elliptic Painlevé equation for the same pencil can be obtained as the composition of two such involutions.