English

Global descent obstructions for varieties

Number Theory 2012-05-07 v2 Algebraic Geometry

Abstract

We show how to transport descent obstructions from the category of covers to the category of varieties. We deduce examples of curves having \QQ\QQ as field of moduli, that admit models over every completion of \QQ\QQ, but have no model over \QQ\QQ.

Cite

@article{arxiv.0907.3586,
  title  = {Global descent obstructions for varieties},
  author = {Jean-Marc Couveignes and Emmanuel Hallouin},
  journal= {arXiv preprint arXiv:0907.3586},
  year   = {2012}
}
R2 v1 2026-06-21T13:27:17.709Z