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PreprintCC BY 4.0arXiv

Ax-Schanuel and the rank one Riemann-Hilbert correspondence

  • Jonathan Pila
  • JacobTsimerman
Open at sourcePDFDOICite

Abstract

We prove an Ax-Lindemann theorem for the rank one Riemann-Hilbert correspondence on a smooth projective complex algebraic curve and recover a result of Simpson.

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Cite

BibTeXRIS
BibTeX
@misc{pila2026axschanuel,
  title = {{Ax-Schanuel and the rank one Riemann-Hilbert correspondence}},
  author = {Jonathan Pila and JacobTsimerman},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09714},
  eprint = {2610.09714},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.09714},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Ax-Schanuel and the rank one Riemann-Hilbert correspondence
AU  - Jonathan Pila
AU  - JacobTsimerman
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.09714
UR  - https://arxiv.org/abs/2610.09714
AB  - We prove an Ax-Lindemann theorem for the rank one Riemann-Hilbert correspondence on a smooth projective complex algebraic curve and recover a result of Simpson.
ER  -