Journal of Nonlinear Mathematical Physics

Volume 20, Issue Supplement 1, November 2013, Pages 17 - 33

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

Authors
A. S. Carstea
Department of Theoretical Physics, Institute of Physics and Nuclear Engineering, Bucharest, Magurele, 077125, Romania, carstea@gmail.com
T. Takenawa
Faculty of Marine Technology, Tokyo University of Marine Science and Technology, Address Tokyo, 2-1-6 Etchu-jima, Koto-Ku, 135-8533, Japan, takenawa@kaiyodai.ac.jp
Received 1 September 2012, Accepted 20 April 2013, Available Online 6 January 2021.
DOI
https://doi.org/10.1080/14029251.2013.862432How to use a DOI?
Keywords
rational surfaces, blow down structure, integrable mappings, invariants
Abstract

In many cases rational surfaces obtained by desingularization of birational dynamical systems are not relatively minimal. We propose a method to obtain coordinates of relatively minimal rational surfaces by using blowing down structure. We apply this method to the study of various integrable or linearizable mappings, including discrete versions of reduced Nahm equations.

Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
20 - Supplement 1
Pages
17 - 33
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2013.862432How to use a DOI?
Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - A. S. Carstea
AU  - T. Takenawa
PY  - 2021
DA  - 2021/01
TI  - A note on minimization of rational surfaces obtained from birational dynamical systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 17
EP  - 33
VL  - 20
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2013.862432
DO  - https://doi.org/10.1080/14029251.2013.862432
ID  - Carstea2021
ER  -