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Abelian Relations are Liouvillian

Gabriel Fazoli, Jorge Vitório Pereira

Source record

Source: arXiv

Published: Sep 17, 2026

arXiv: 2609.21007

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Source abstract

We prove that every germ of an abelian relation of a codimension-one web on a complex projective manifold is defined over a Liouvillian extension of the function field.

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Abelian Relations are Liouvillian — Mathematical Frontier Network