Sur le corps des modules de certaines vari\'et\'es
classification
🧮 math.NT
math.AG
keywords
fieldcurveshavingmodulisameadmitassociatecertaines
read the original 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.
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