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Main Authors: Gasbarri, Carlo, Guo, Ji, Wang, Julie Tzu-Yueh
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.13186
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author Gasbarri, Carlo
Guo, Ji
Wang, Julie Tzu-Yueh
author_facet Gasbarri, Carlo
Guo, Ji
Wang, Julie Tzu-Yueh
contents We first prove Vojta's abc conjecture over function fields for Campana points on projective toric varieties with high multiplicity along the boundary. As a consequence, we obtain a version of Campana's conjecture on finite coverings of projective toric varieties over function fields.
format Preprint
id arxiv_https___arxiv_org_abs_2401_13186
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Campana conjecture for coverings of toric varieties over function fields
Gasbarri, Carlo
Guo, Ji
Wang, Julie Tzu-Yueh
Algebraic Geometry
Number Theory
11J97, 14H05 and 11J87
We first prove Vojta's abc conjecture over function fields for Campana points on projective toric varieties with high multiplicity along the boundary. As a consequence, we obtain a version of Campana's conjecture on finite coverings of projective toric varieties over function fields.
title Campana conjecture for coverings of toric varieties over function fields
topic Algebraic Geometry
Number Theory
11J97, 14H05 and 11J87
url https://arxiv.org/abs/2401.13186