Global descent obstructions for varieties

Details Global descent obstructions for varieties Global descent obstructions for varieties

2009-07-21

arxiv.org/abs/0907.3586v2

Mathematics

Number Theory

Scientific paper

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

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