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Register a new userPrincipal ideals in mod-$ell$ Milnor $K$-theory
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Fix a symbol $underline{a}$ in the mod-$ell$ Milnor $K$-theory of a field $k$, and a norm variety $X$ for $underline{a}$. We show that the ideal generated by $underline{a}$ is the kernel of the $K$-theory map induced by $ksubset k(X)$ and give generators for the annihilator of the ideal. When $ell=2$, this was done by Orlov, Vishik and Voevodsky.
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