English

A local-global principle for weak approximation on varieties over function fields

Algebraic Geometry 2009-09-04 v2

Abstract

We present a new perspective on the weak approximation conjecture of Hassett and Tschinkel: formal sections of a rationally connected fibration over a curve can be approximated to arbitrary order by regular sections. The new approach involves the study of how ideal sheaves pullback to Cartier divisors.

Keywords

Cite

@article{arxiv.0908.0096,
  title  = {A local-global principle for weak approximation on varieties over function fields},
  author = {Mike Roth and Jason Michael Starr},
  journal= {arXiv preprint arXiv:0908.0096},
  year   = {2009}
}

Comments

20 pages, corrected author names and affiliations

R2 v1 2026-06-21T13:31:34.296Z