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Holomorphic projective connections on surfaces

2014/01/10 by Oumar Wone, Wone, Oumar
Mathematics · #34A26 #34A34 #34C14 #35A27 #35N10 #58A20 #58H05 #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1401.2375

openalex publication_date 2014/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study complex analytic (possibly singular) projective connections on the plane. We characterize some of them in terms of their families of integral curves. We also give a beginning of classification of second order odes polynomial in the first and second derivatives, and with holomorphic coefficients.

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