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- W4306809323 abstract "We recast the Galois cohomology of the variety $V$ over a number field $k$ in terms of the K-theory of a $C^*$-algebra $mathscr{A}_V$ connected to $V$. It is proved that $V$ is isomorphic to $V'$ over $k$ (algebraic closure of $k$, resp.) if and only if $mathscr{A}_V$ is isomorphic (Morita equivalent, resp.) to $mathscr{A}_{V'}$. In particular, the Morita equivalent $C^*$-algebras $mathscr{A}_V$ parametrize twists of the variety $V$. The case of rational elliptic curves is considered in detail." @default.
- W4306809323 created "2022-10-20" @default.
- W4306809323 creator A5030662408 @default.
- W4306809323 date "2017-12-20" @default.
- W4306809323 modified "2023-10-16" @default.
- W4306809323 title "Remark on Galois cohomology" @default.
- W4306809323 doi "https://doi.org/10.48550/arxiv.1712.07516" @default.
- W4306809323 hasPublicationYear "2017" @default.
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