On the abc conjecture — Draconitic Research

Abstract

Using adelic intersection theory and following the method envisioned by Parshin and Moret-Bailly, we prove a conjecture of Vojta for curves of genus two and a weak form of the abc conjecture

Cite

BibTeX RIS

BibTeX

@misc{soule2026conjecture,
  title = {{On the $abc$ conjecture}},
  author = {Christophe Soulé},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05217},
  eprint = {2611.05217},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05217},
  note = {CC BY-NC-SA 4.0},
}

RIS

TY  - UNPB
TI  - On the abc conjecture
AU  - Christophe Soulé
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.05217
UR  - https://arxiv.org/abs/2611.05217
AB  - Using adelic intersection theory and following the method envisioned by Parshin and Moret-Bailly, we prove a conjecture of Vojta for curves of genus two and a weak form of the abc conjecture
ER  -