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
- 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/).
Cite this article
TY - JOUR AU - A. S. Carstea AU - T. Takenawa PY - 2021 DA - 2021/01/06 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 - 10.1080/14029251.2013.862432 ID - Carstea2021 ER -