PreprintarXiv licencearXiv
Abelian Relations are Liouvillian
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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BibTeX
@misc{fazoli2026abelian,
title = {{Abelian Relations are Liouvillian}},
author = {Gabriel Fazoli and Jorge Vitório Pereira},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21007},
eprint = {2609.21007},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21007},
}
RIS
TY - UNPB
TI - Abelian Relations are Liouvillian
AU - Gabriel Fazoli
AU - Jorge Vitório Pereira
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.21007
UR - https://arxiv.org/abs/2609.21007
AB - 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.
ER -