The projective translation equation and unramified 2-dimensional flows with rational vector fields

DOI10.1007/s00010-014-0284-4zbMath1323.39017arXiv1202.3958OpenAlexW1964923065MaRDI QIDQ2350286

Giedrius Alkauskas

Publication date: 19 June 2015

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3958

zbMATH Keywords

flowhypergeometric functioniterative functional equationrational solutionlinear partial differential equationfinite group representationrational vector field(Dixonian) elliptic functionnon-singular projective flowsprojective translation equation

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Elliptic curves (14H52) Iteration theory, iterative and composite equations (39B12) Rational and birational maps (14E05) Elliptic functions and integrals (33E05) Flows on surfaces (37E35) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (6)

Algebraic and abelian solutions to the projective translation equation ⋮ The projective translation equation and rational plane flows. I ⋮ The projective translation equation and rational plane flows. II: Corrections and additions ⋮ Beltrami vector fields with an icosahedral symmetry ⋮ Planar 2-homogeneous commutative rational vector fields ⋮ The projective translation equation and unramified 2-dimensional flows with rational vector fields

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