paper

Homological stability and weak approximation

arXiv:2509.11021

Abstract

We investigate homological stability for the space of sections of Fano fibrations over curves in the context of weak approximation, and establish it for projective bundles, as well as for conic and quadric surface bundles over curves.

minor revision, 34 pages, to appear in Courant Journal of Pure and Applied Mathematics,

Homological stability and weak approximation · wovepaper