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

Published 10 Jan 2018 in math.AG, math.CA, and math.CV | (1801.03280v1)

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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Authors (1)

Jorge Vitorio Pereira

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