Space of initial conditions for the four-dimensional Fuji-Suzuki-Tsuda system

Autor:	Takenawa, Tomoyuki
Rok vydání:	2020
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematics - Dynamical Systems 37F10 34M55 14E07
Druh dokumentu:	Working Paper
Popis:	A geometric study for an integrable 4-dimensional dynamical system so called the Fuji-Suzuki-Tsuda system is given. By the resolution of indeterminacy, the group of its B\"aklund transformations is lifted to a group of pseudo-isomorphisms between rational varieties obtained from $(P^1)^4$ by blowing-up along eight 2-dimensional subvarieties and four 1-dimensional subvarieties. The root basis is realised in the N\'eron-Severi bilattices. A discrete Painlev\'e system with quadratic degree growth is also realised as its translational element. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.06271 Zobrazit plný text záznamu View this record from Arxiv