Details
| Original language | English |
|---|---|
| Publication status | E-pub ahead of print - 3 Feb 2023 |
Abstract
Keywords
- math.AG, math.KT, 14E08, 14M20, 14M22, 19D45
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2023.
Research output: Working paper/Preprint › Preprint
}
TY - UNPB
T1 - Geometric retract rationality of norm varieties
AU - Schreieder, Stefan
N1 - 6 pages, v2: minor changes
PY - 2023/2/3
Y1 - 2023/2/3
N2 - Let \(k\) be a field of characteristic zero. We show that the norm variety associated to a symbol \(\alpha\in K^M_n(k)/\ell\) in Milnor K-theory modulo \(\ell\) is geometrically retract rational for any prime \(\ell\). This generalizes a recent result of Balwe-Hogadi-Sawant, where geometric \(\mathbb A^1\)-connectedness (an a priori weaker notion) had been proven.
AB - Let \(k\) be a field of characteristic zero. We show that the norm variety associated to a symbol \(\alpha\in K^M_n(k)/\ell\) in Milnor K-theory modulo \(\ell\) is geometrically retract rational for any prime \(\ell\). This generalizes a recent result of Balwe-Hogadi-Sawant, where geometric \(\mathbb A^1\)-connectedness (an a priori weaker notion) had been proven.
KW - math.AG
KW - math.KT
KW - 14E08, 14M20, 14M22, 19D45
M3 - Preprint
BT - Geometric retract rationality of norm varieties
ER -