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Results tagged with ag.algebraic-geometry
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user 489009
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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How to compute Selmer set?
Let $X$ be an affine variety and $G$ an affine algebraic group (for example $\operatorname{PGL}_n$). How do I compute the Selmer set
$$ \operatorname{Sel}_\zeta(\mathbb{Q},G) = \{\tau \in H^1(\mathbb{ …
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votes
Accepted
How to compute Selmer set?
Assume that $X(\mathbb{Q}_\nu)$ is nonempty for every place $\nu$. Since $X$ is affine, $H^1(X,G)$ is trivial. This means that $\zeta(x) = e$ for every $x \in X(\mathbb{Q}_\nu)$, which means that $e \ …