Abstract
We prove that the standard norm varieties for Milnor symbols mod of length are birationally isomorphic to Pfister quadrics when , to Severi–Brauer varieties when and , and to varieties defined by reduced norms of cyclic algebras when and . In the case and the case and , the results imply that the standard norm varieties for two equal Milnor symbols mod are birationally isomorphic, and we conjecture this in general.
Citation
Dinh Huu Nguyen. "Standard norm varieties for Milnor symbols mod $p$." Ann. K-Theory 1 (4) 457 - 475, 2016. https://doi.org/10.2140/akt.2016.1.457
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