Algebraic separatrices for non-dicritical foliations on projective spaces of dimension at least four

2018/01/10 by Pereira, Jorge Vitorio
#32D15 #37F75 #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.03280

Abstract

Non-dicritical codimension one foliations on projective spaces of dimension four or higher always have an invariant algebraic hypersurface. The proof relies on a strengthening of a result by Rossi on the algebraization/continuation of analytic subvarieties of projective spaces.

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