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PreprintCC BY 4.0arXiv

Arithmetic jet spaces and the unramified Zilber--Pink conjecture for subvarieties of abelian varieties

  • Netan Dogra
  • Arnab Saha
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Abstract

We show how the methods of delta geometry can be used to bound the degree of points in the Zilber--Pink locus of a subvariety of an abelian variety, if the varieties are defined over a number field and we restrict to points with bounded ramification at a fixed prime.

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Cite

BibTeXRIS
BibTeX
@misc{dogra2026arithmetic,
  title = {{Arithmetic jet spaces and the unramified Zilber--Pink conjecture for subvarieties of abelian varieties}},
  author = {Netan Dogra and Arnab Saha},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17325},
  eprint = {2610.17325},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17325},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Arithmetic jet spaces and the unramified Zilber--Pink conjecture for subvarieties of abelian varieties
AU  - Netan Dogra
AU  - Arnab Saha
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2610.17325
UR  - https://arxiv.org/abs/2610.17325
AB  - We show how the methods of delta geometry can be used to bound the degree of points in the Zilber--Pink locus of a subvariety of an abelian variety, if the varieties are defined over a number field and we restrict to points with bounded ramification at a fixed prime.
ER  -