English

Belyi's theorem for smooth complete intersections of general type in generalised Grassmannians and weighted projective spaces

Algebraic Geometry 2025-08-20 v3 Number Theory

Abstract

We show that A. Javanpeykar's proof of Belyi's theorem for smooth complete intersections of general type in ordinary projective spaces can be generalised to smooth complete intersections of general type in generalised Grassmannians and weighted projective spaces. We propose an approach to the generalisation of this result to smooth complete intersections of general type in more general Mori dream spaces.

Keywords

Cite

@article{arxiv.2401.06955,
  title  = {Belyi's theorem for smooth complete intersections of general type in generalised Grassmannians and weighted projective spaces},
  author = {Mikhail Ovcharenko},
  journal= {arXiv preprint arXiv:2401.06955},
  year   = {2025}
}

Comments

14 pages. Final version, to appear in Sbornik: Mathematics