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Projective classification of rational $$\mathbb {C}\mathbf {P}^{1}$$ C P 1 -mappings

Projective classification of rational $$\mathbb {C}\mathbf {P}^{1}$$ C P 1 -mappings We study the orbits of various $$\mathbf {SL}_{2}\left( \mathbb {C}\right) $$ SL 2 C -actions on the spaces of rational $$\mathbb {C}\mathbf {P}^{1}$$ C P 1 -mappings. The fields of rational differential invariants and the corresponding ordinary differential equations that describe orbits are found. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Projective classification of rational $$\mathbb {C}\mathbf {P}^{1}$$ C P 1 -mappings

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Publisher
Springer Journals
Copyright
Copyright © 2019 by Springer Nature Switzerland AG
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-019-00281-2
Publisher site
See Article on Publisher Site

Abstract

We study the orbits of various $$\mathbf {SL}_{2}\left( \mathbb {C}\right) $$ SL 2 C -actions on the spaces of rational $$\mathbb {C}\mathbf {P}^{1}$$ C P 1 -mappings. The fields of rational differential invariants and the corresponding ordinary differential equations that describe orbits are found.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Feb 4, 2019

References