Symmetries of complex analytic vector fields with an essential singularity on the Riemann sphere
Symmetries of complex analytic vector fields with an essential singularity on the Riemann sphere
Abstract We consider the family ℰ ( s , r , d ) of all singular complex analytic vector fields <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>X</m:mi> <m:mo stretchy="false">(</m:mo> <m:mi>z</m:mi> <m:mo stretchy="false">)</m:mo> <m:mo>=</m:mo> <m:mfrac> <m:mrow> <m:mi>Q</m:mi> <m:mo stretchy="false">(</m:mo> <m:mi>z</m:mi> <m:mo stretchy="false">)</m:mo> </m:mrow> <m:mrow> <m:mi>P</m:mi> <m:mo stretchy="false">(</m:mo> <m:mi>z</m:mi> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:mfrac> <m:msup> <m:mi>e</m:mi> …