A consequence of the relative Bogomolov conjecture

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Vesselin Dimitrov
  • Ziyang Gao
  • Philipp Habegger

Organisationseinheiten

Externe Organisationen

  • University of Cambridge
  • Universität Basel
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Details

OriginalspracheEnglisch
Seiten (von - bis)146-160
Seitenumfang15
FachzeitschriftJournal of Number Theory
Jahrgang230
Frühes Online-Datum19 Okt. 2021
PublikationsstatusVeröffentlicht - Jan. 2022

Abstract

We propose a formulation of the relative Bogomolov conjecture and show that it gives an affirmative answer to a question of Mazur's concerning the uniformity of the Mordell-Lang conjecture for curves. In particular we show that the relative Bogomolov conjecture implies the uniform Manin-Mumford conjecture for curves. The proof is built up on our previous work "Uniformity in Mordell-Lang for curves".

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A consequence of the relative Bogomolov conjecture. / Dimitrov, Vesselin; Gao, Ziyang; Habegger, Philipp.
in: Journal of Number Theory, Jahrgang 230, 01.2022, S. 146-160.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Dimitrov V, Gao Z, Habegger P. A consequence of the relative Bogomolov conjecture. Journal of Number Theory. 2022 Jan;230:146-160. Epub 2021 Okt 19. doi: 10.1016/j.jnt.2021.03.028
Dimitrov, Vesselin ; Gao, Ziyang ; Habegger, Philipp. / A consequence of the relative Bogomolov conjecture. in: Journal of Number Theory. 2022 ; Jahrgang 230. S. 146-160.
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note = "Funding Information: Acknowledgments. We would like to thank the referee for their comments. Vesselin Dimitrov has received funding from the European Union's Seventh Framework Programme (FP7/2007?2013) / ERC grant agreement n? 617129. Ziyang Gao has received fundings from the French National Research Agency grant ANR-19-ERC7-0004, and the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement n? 945714). Philipp Habegger has received funding from the Swiss National Science Foundation (grant n? 200020_184623).",
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