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Uniform Bogomolov Conjecture for Tori

Publikation: Qualifikations-/Studienabschlussarbeit › Dissertation

Autorschaft

  • Ruida Di

Organisationseinheiten

Details

OriginalspracheEnglisch
QualifikationDoctor rerum naturalium
Gradverleihende Hochschule
Betreut von
  • Ziyang Gao, Betreuer*in
Datum der Verleihung des Grades7 Juni 2024
ErscheinungsortHannover
PublikationsstatusVeröffentlicht - 14 Aug. 2024

Abstract

The Bogomolov Conjecture for algebraic tori is a problem related to rational points on algebraic tori in Diophantine geometry. It inquires whether there are infinitely many non-torsion points with a canonical height tending to zero. The uniform version of this conjecture for algebraic tori was resolved in the 1990s. This dissertation presents a new proof inspired by the recent proof of the uniform Mordell-Lang Conjecture by Dimitrov-Gao-Habegger, Kühne, and Gao-Ge-Kühne.

Zitieren

Uniform Bogomolov Conjecture for Tori. / Di, Ruida.
Hannover, 2024. 59 S.

Publikation: Qualifikations-/Studienabschlussarbeit › Dissertation

Di, R 2024, 'Uniform Bogomolov Conjecture for Tori', Doctor rerum naturalium, Gottfried Wilhelm Leibniz Universität Hannover, Hannover. https://doi.org/10.15488/17842
Di, R. (2024). Uniform Bogomolov Conjecture for Tori. [Dissertation, Gottfried Wilhelm Leibniz Universität Hannover]. https://doi.org/10.15488/17842
Di R. Uniform Bogomolov Conjecture for Tori. Hannover, 2024. 59 S. doi: 10.15488/17842
Di, Ruida. / Uniform Bogomolov Conjecture for Tori. Hannover, 2024. 59 S.
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