Work

On the rational solutions of generalized Abel equations

Year: 2026

Type: preprint

Abstract: We study the nonconstant rational solutions of generalized Abel equations \[ x'=\sum_{i=1}^s A_i(t)x^{n_i},\qquad s\geq3,\qquad 1\leq n_1<\cdots

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.10591

Authors: Calderon, L. A., Ojeda, I.

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Junta de Extremadura, European Regional Development Fund, Agencia Estatal de Investigación

Awards: G2262748287, G2522321708, G3480869486, G425668148, G451917667, G4597869349, G464105488, G586857820, G5967599077, G7084143925, G7301412885

OpenAlex ID: W7160914185

Cites: 17

Cited by: 1

Related to: 10