The geometric Bogomolov conjecture

Serge Cantat; Ziyang Gao; Philipp Habegger; Junyi Xie

doi:10.1215/00127094-2020-0044

The geometric Bogomolov conjecture

Serge Cantat, Ziyang Gao, Philipp Habegger, Junyi Xie

Research output: Contribution to journal › Article › Research › peer review

Abstract

We prove the geometric Bogomolov conjecture over a function field of characteristic zero.

Original language	English
Pages (from-to)	247 - 277
Number of pages	31
Journal	Duke Mathematical Journal
Volume	170
Issue number	2
Early online date	10 Nov 2020
DOIs	https://doi.org/10.1215/00127094-2020-0044
Publication status	Published - 1 Feb 2021
Externally published	Yes

Keywords

math.AG
math.NT

ASJC Scopus subject areas

General Mathematics

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10.1215/00127094-2020-0044

https://arxiv.org/abs/1809.00848Licence: Arxiv nonexclusive-distrib 1.0

Cite this

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title = "The geometric Bogomolov conjecture",

abstract = " We prove the geometric Bogomolov conjecture over a function field of characteristic zero. ",

keywords = "math.AG, math.NT",

author = "Serge Cantat and Ziyang Gao and Philipp Habegger and Junyi Xie",

note = "Funding information: Xie{\textquoteright}s work was partially supported by Agence Nationale de la Recherche project “Fatou” grant ANR-17-CE40-0002-01. Cantat{\textquoteright}s work was partially supported by the French Academy of Sciences (the Simone and Cino Del Duca Foundation). Gao and Habegger thank the Simone and Cino Del Duca Foundation for financial support.",

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AU - Cantat, Serge

AU - Gao, Ziyang

AU - Habegger, Philipp

AU - Xie, Junyi

N1 - Funding information: Xie’s work was partially supported by Agence Nationale de la Recherche project “Fatou” grant ANR-17-CE40-0002-01. Cantat’s work was partially supported by the French Academy of Sciences (the Simone and Cino Del Duca Foundation). Gao and Habegger thank the Simone and Cino Del Duca Foundation for financial support.

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AB - We prove the geometric Bogomolov conjecture over a function field of characteristic zero.

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U2 - 10.1215/00127094-2020-0044

DO - 10.1215/00127094-2020-0044

M3 - Article

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VL - 170

SP - 247

EP - 277

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 2

ER -

The geometric Bogomolov conjecture

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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