TY - JOUR
AU1 - HU, Yong
AU2 - SUN, Peng
AB - Let F be a field of characteristic 2 and let X be a smooth projective quadric of dimension ≥1\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\ge 1$$\end{document} over F. We study the unramified cohomology groups with 2-primary torsion coefficients of X in degrees 2 and 3. We determine completely the kernel and the cokernel of the natural map from the cohomology of F to the unramified cohomology of X. This extends the results in characteristic different from 2 obtained by Kahn, Rost and Sujatha in the nineteen-nineties.
TI - Unramified cohomology of quadrics in characteristic two
JF - manuscripta mathematica
DO - 10.1007/s00229-022-01384-0
DA - 2023-05-01
UR - https://www.deepdyve.com/lp/springer-journals/unramified-cohomology-of-quadrics-in-characteristic-two-nbG7iT560r
SP - 263
EP - 294
VL - 171
IS - 1-2
DP - DeepDyve
ER -