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

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.

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