scientific article; zbMATH DE number 5263180

zbMath1137.39011arXivnlin/0411003MaRDI QIDQ5457422

Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiko Yamada, Yasuhiro Ohta

Publication date: 14 April 2008

Full work available at URL: https://arxiv.org/abs/nlin/0411003

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

configuration spaceprojective spacediscrete Painlevé equationCremona transformationelliptic functionelliptic difference Painlevé equationbirational Weyl group action

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Arithmetic ground fields for curves (14H25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12) Configurations and arrangements of linear subspaces (14N20) Multiplicative and other generalized difference equations (39A20)

Related Items

Involutions of Halphen pencils of index 2 and discrete integrable systems ⋮ Theory and applications of the elliptic Painlevé equation ⋮ Manin involutions for elliptic pencils and discrete integrable systems ⋮ Hypergeometric \(\tau\) functions of the \(q\)-Painlevé systems of types \(A_4^{(1)}\) and \((A_1+A_1')^{(1)}\) ⋮ Tropical Weyl group action via point configurations and \(\tau\)-functions of the \(q\)-Painlevé equations ⋮ Special functions arising from discrete Painlevé equations: a survey ⋮ Hypergeometric \(\tau \)-functions of the \(q\)-Painlevé system of type \(E_{8}^{(1)}\) ⋮ Geometric aspects of Painlevé equations ⋮ A geometric approach to tau-functions of difference Painlevé equations