A note on minimization of rational surfaces obtained from birational dynamical systems

DOI10.1080/14029251.2013.862432zbMath1420.39001arXiv1211.5393OpenAlexW2964185849MaRDI QIDQ5230920

A. S. Carstea, Tomoyuki Takenawa

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5393

zbMATH Keywords

invariantsrational surfacesintegrable mappingsblow down structure

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) General theory of difference equations (39A05) Multiplicative and other generalized difference equations (39A20)

Related Items (6)

Manin involutions for elliptic pencils and discrete integrable systems ⋮ Lax pairs for the discrete reduced Nahm systems ⋮ On some applications of Sakai's geometric theory of discrete Painlevé equations ⋮ Geometric aspects of Painlevé equations ⋮ On the singularity structure of Kahan discretizations of a class of quadratic vector fields ⋮ New classes of quadratic vector fields admitting integral-preserving Kahan–Hirota–Kimura discretizations

Cites Work

• On integrability of Hirota-Kimura type discretizations
• Enriques surfaces. I
• Rational surfaces associated with affine root systems and geometry of the Painlevé equations
• Integrable mappings and soliton equations. II
• On the integrability of correspondences associated to integral curves
• Dynamics of bimeromorphic maps of surfaces
• Algebraic entropy and the space of initial values for discrete dynamical systems
• A classification of two-dimensional integrable mappings and rational elliptic surfaces
• The space of initial conditions for linearizable mappings
• Discrete versions of the Painlevé equations
• Discrete integrable systems from continuous Painlevé equations through limiting procedures
• Integrable mappings via rational elliptic surfaces
• Discrete dynamical systems associated with root systems of indefinite type
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