Unramified cohomology of quadrics in characteristic two

نویسندگان

چکیده

Let $F$ be a field of characteristic 2 and let $X$ smooth projective quadric dimension $\ge 1$ over $F$. We study the unramified cohomology groups with 2-primary torsion coefficients in degrees 3. determine completely kernel cokernel natural map from to $X$. This extends results different obtained by Kahn, Rost Sujatha nineteen-nineties.

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ژورنال

عنوان ژورنال: Manuscripta Mathematica

سال: 2022

ISSN: ['0025-2611', '1432-1785']

DOI: https://doi.org/10.1007/s00229-022-01384-0