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Galois ascent - When is a variety a Weil restriction?

Let $L|K$ be a finite Galois extension of degree $d$ and $X$ be a variety over $K$. Is there a simple criterion, similar to Galois descent, allowing to determine whether $X$ is the Weil restriction (r …
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5 votes
1 answer
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Converse of "generalized Hilbert 90" / Galois descent

The following generalization of Hilbert 90 can be found in Serre's Corps Locaux (Chap. X, §1, ex.2, p.160 of the French edition), see also this question: Theorem: If $L|K$ is a finite Galois extension …
Moinsdeuxcat's user avatar