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• W1532093071 abstract "Let $p$ be an odd prime number, $D_p$ be the dihedral group of order $2p$, $h_p$ and $h^+_p$ be the class numbers of $bm{Q}(zeta_p)$ and $bm{Q}(zeta_p+ zeta_p^{-1})$ respectively. Theorem. $h_p^+=1$ if and only if, for any field $k$ admitting a $D_p$-extension, all the algebraic $D_p$-tori over $k$ are stably rational. A similar result for $h_p=1$ and $C_p$-tori is valid also." @default.
• W1532093071 created "2016-06-24" @default.
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• W1532093071 date "2013-12-24" @default.
• W1532093071 modified "2023-09-27" @default.
• W1532093071 title "Class Numbers and Algebraic Tori" @default.
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• W1532093071 hasPublicationYear "2013" @default.
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