English

Weak approximation for cubic hypersurfaces

Algebraic Geometry 2015-11-03 v2

Abstract

We prove weak approximation for smooth cubic hypersurfaces of dimension at least 2 defined over the function field of a complex curve.

Keywords

Cite

@article{arxiv.1303.7273,
  title  = {Weak approximation for cubic hypersurfaces},
  author = {Zhiyu Tian},
  journal= {arXiv preprint arXiv:1303.7273},
  year   = {2015}
}

Comments

31 pages, 5 figures. Comments are appreciated. v2: major revision in section 3, section 4 rewritten. To appear in Duke. Math. Journal. arXiv admin note: text overlap with arXiv:1003.3502

R2 v1 2026-06-21T23:50:01.546Z