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A motivic Vojta inequality for non-CM elliptic curves with unbounded height

  • Daiki Kawabe
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Abstract

We study a bounded-degree form of a motivic Vojta inequality for pure André motives, arising from a question of Kato. We verify this inequality for infinitely many non-CM elliptic curves with unbounded stable Faltings height. The point is that ramification at the finite poles of the j-invariant gives the required discriminant bound.

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Cite

BibTeXRIS
BibTeX
@misc{kawabe2026motivic,
  title = {{A motivic Vojta inequality for non-CM elliptic curves with unbounded height}},
  author = {Daiki Kawabe},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05672},
  eprint = {2611.05672},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05672},
}
RIS
TY  - UNPB
TI  - A motivic Vojta inequality for non-CM elliptic curves with unbounded height
AU  - Daiki Kawabe
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.05672
UR  - https://arxiv.org/abs/2611.05672
AB  - We study a bounded-degree form of a motivic Vojta inequality for pure André motives, arising from a question of Kato. We verify this inequality for infinitely many non-CM elliptic curves with unbounded stable Faltings height. The point is that ramification at the finite poles of the j-invariant gives the required discriminant bound.
ER  -