Painlevé's determinateness theorem extended to proper coverings
arXiv:0901.4689
Abstract
We extend Painlevé's determinateness theorem to the case of first order ordinary differential equations in the complex domain with known terms allowed be multivalued in the dependent variable as well; multivaluedness is supposed to be resolved by proper coverings.
v3: 9 pages - AMS LaTex. Exposition improved. Proof of main theorem restructred. Examples added. Main result essentially unchanged. The author is also known by his natural name "Claudi Meneghin" v2 was a failed attempt at replacing v1