Unramified cohomology of quadrics, I

Kahn, Bruno and Rost, Markus and Sujatha, R. (1998) Unramified cohomology of quadrics, I. AMERICAN JOURNAL OF MATHEMATICS, 120 (4). pp. 841-891. ISSN 0002-9327, 1080-6377

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Abstract

Given a quadric X over a field F of characteristic not equal 2, we compute the kernel and cokernel of the natural map in degree 4 from the mod 2 Galois cohomology of F to the unramified mod 2 cohomology of F(X), when dim X > 10 and in several smaller-dimensional cases. Applications of these results to real quadrics and to the unramified Witt ring are given.

Item Type: Article
Uncontrolled Keywords: GALOIS COHOMOLOGY; QUADRATIC-FORMS; VARIETIES; FIELDS; INVARIANTS
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Feb 2023 09:16
Last Modified: 23 Feb 2023 09:16
URI: https://pred.uni-regensburg.de/id/eprint/49614

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