1 February 2021 The geometric Bogomolov conjecture
Serge Cantat, Ziyang Gao, Philipp Habegger, Junyi Xie
Duke Math. J. 170(2): 247-277 (1 February 2021). DOI: 10.1215/00127094-2020-0044

Abstract

In the following, we prove the geometric Bogomolov conjecture over a function field of characteristic 0 .

Citation

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Serge Cantat. Ziyang Gao. Philipp Habegger. Junyi Xie. "The geometric Bogomolov conjecture." Duke Math. J. 170 (2) 247 - 277, 1 February 2021. https://doi.org/10.1215/00127094-2020-0044

Information

Received: 3 October 2018; Revised: 6 April 2020; Published: 1 February 2021
First available in Project Euclid: 10 November 2020

Digital Object Identifier: 10.1215/00127094-2020-0044

Subjects:
Primary: 14G25
Secondary: 14G40

Keywords: abelian variety , Betti foliation , Betti form , function field , geometric Bogomolov conjecture

Rights: Copyright © 2021 Duke University Press

Vol.170 • No. 2 • 1 February 2021
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