English

Arithmetic of rationaly connected quintic 3-folds over finite and function fields

Number Theory 2007-10-24 v1 Algebraic Geometry

Abstract

We prove that both classical Chevalley-Warning-Ax and Tsen theorems hold for the blowing up of a quintic 3-fold along a line of multiplicity 3. Both proofs, which are of the same spirit than the original ones, involve the description of this blowing-up as a subvariety of a toric variety.

Keywords

Cite

@article{arxiv.0710.4219,
  title  = {Arithmetic of rationaly connected quintic 3-folds over finite and function fields},
  author = {Marc Perret},
  journal= {arXiv preprint arXiv:0710.4219},
  year   = {2007}
}

Comments

13 pages, no figure

R2 v1 2026-06-21T09:35:00.812Z