2008/07/30 by Jean-Marc Couveignes, Couveignes, Jean-Marc, Emmanuel Hallouin +1
Mathematics · #11R37 #12F10 #12Y05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11R37 #msc:12F10 #msc:12Y05
paper · pdf · doi:10.48550/arxiv.0807.4822
arxiv created 2008/07/30 · arxiv updated 2009/12/01
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.