On $P$-generic Splitting Varieties for Milnor K-symbols mod $P$

Details On $P$-generic Splitting Varieties for Milnor K-symbols mod $P$ On $P$-generic Splitting Varieties for Milnor K-symbols mod $P$

2010-03-21

arxiv.org/abs/1003.3971v1

Mathematics

Algebraic Geometry

19 pages, final version June 2009

Scientific paper

The goal of this paper is to prove that the $p$-generic splitting varieties
constructed from symmetric powers for two tuples $(a_{1}, a_{2},...,a_{n})$ and
$(b_{1},b_{2},...,b_{n})$ are birationally isomorphic whenever the Milnor
K-symbols $\{a_{1}, a_{2},...,a_{n}\}$ and $\{b_{1},b_{2},...,b_{n}\}$ are
equal in $K_{n}^{M}(k)/p$.

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