English

Homological stability and weak approximation

Algebraic Geometry 2025-09-16 v1 Algebraic Topology Number Theory

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.

Keywords

Cite

@article{arxiv.2509.11021,
  title  = {Homological stability and weak approximation},
  author = {Sho Tanimoto and Yuri Tschinkel},
  journal= {arXiv preprint arXiv:2509.11021},
  year   = {2025}
}

Comments

31 pages

R2 v1 2026-07-01T05:35:00.889Z