Manin involutions for elliptic pencils and discrete integrable systems

DOI10.1007/s11040-021-09376-4OpenAlexW3134208693MaRDI QIDQ830514

Kangning Wei, Matteo Petrera, René Zander, Yuri Borisovich Suris

Publication date: 7 May 2021

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08308

zbMATH Keywords

elliptic curvebirational mapintegrable mapelliptic pencil

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Special algebraic curves and curves of low genus (14H45) Relationships between algebraic curves and integrable systems (14H70) Rational and birational maps (14E05) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Related Items (5)

Involutions of Halphen pencils of index 2 and discrete integrable systems ⋮ A three-dimensional generalization of QRT maps ⋮ A new class of integrable maps of the plane: Manin transformations with involution curves ⋮ Generalised Manin transformations and QRT maps ⋮ How one can repair non-integrable Kahan discretizations. II: A planar system with invariant curves of degree 6

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