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Mordell--Lang plus Geometric Bogomolov

  • Long Liu
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Abstract

We prove a geometric version of Poonen's "Mordell--Lang plus Bogomolov" theorem for semi-abelian varieties in characteristic zero. This is a generalization of the Mordell--Lang conjecture and the geometric Bogomolov conjecture.

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Cite

BibTeXRIS
BibTeX
@misc{liu2026mordelllang,
  title = {{Mordell--Lang plus Geometric Bogomolov}},
  author = {Long Liu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.38001},
  eprint = {2609.38001},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.38001},
}
RIS
TY  - UNPB
TI  - Mordell--Lang plus Geometric Bogomolov
AU  - Long Liu
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.38001
UR  - https://arxiv.org/abs/2609.38001
AB  - We prove a geometric version of Poonen's "Mordell--Lang plus Bogomolov" theorem for semi-abelian varieties in characteristic zero. This is a generalization of the Mordell--Lang conjecture and the geometric Bogomolov conjecture.
ER  -