Sur le corps des modules de certaines vari\'et\'es
Number Theory
2008-07-31 v1 Algebraic Geometry
Abstract
To every covering of curves, we associate several varieties having the same field of moduli and same fields of definition. We deduce examples of curves having Q (the field of rationals) as field of moduli, that admit models over any completion of Q but no model over Q.
Keywords
Cite
@article{arxiv.0807.4822,
title = {Sur le corps des modules de certaines vari\'et\'es},
author = {Jean-Marc Couveignes and Emmanuel Hallouin},
journal= {arXiv preprint arXiv:0807.4822},
year = {2008}
}