Standard Norm Varieties for Milnor Symbols mod p
Algebraic Geometry
2016-08-31 v3 K-Theory and Homology
Abstract
We prove that the standard norm varieties for Milnor symbols mod p of length n are birationally isomorphic to Pfister quadrics when p = 2, to Severi-Brauer varieties when p > 2, n = 2, and to varieties defined by reduced norms of cyclic algebras when p > 2, n = 3. In the case p = 2 and the case p > 2, n = 2, the results imply that the standard norm varieties for two equal Milnor symbols mod p are birationally isomorphic, and we conjecture this in general.
Cite
@article{arxiv.1003.3971,
title = {Standard Norm Varieties for Milnor Symbols mod p},
author = {Dinh Huu Nguyen},
journal= {arXiv preprint arXiv:1003.3971},
year = {2016}
}
Comments
submitted for publication