Unramified cohomology of quadrics in characteristic two

DOI10.1007/s00229-022-01384-0OpenAlexW3135238287MaRDI QIDQ2700860

Yanyan Li

Publication date: 27 April 2023

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.00426

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Étale and other Grothendieck topologies and (co)homologies (14F20) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items (1)

Chow groups of quadrics in characteristic two

Cites Work

• La conjecture de Gersten pour les faisceaux de Hodge-Witt logarithmique. (The Gersten conjecture for the logarithmic Hodge-Witt sheaves)
• Noether's problem over an algebraically closed field
• \(p\)-adic étale cohomology
• Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two
• Cohomologische Invarianten quadratischer Formen
• Quadratic forms over semilocal rings
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• Motivic cohomology and unramified cohomology of quadrics
• Certain quadratic forms of dimension at most 6 and function fields of characteristic 2
• The Witt group of a discretely valued field
• Rost's cohomological invariants in positive characteristic
• Unramified cohomology of quadrics. II.
• Lower \({\mathcal H}\)-cohomology of higher-dimensional quadrics
• The \(K\)-theory of fields in characteristic \(p\)
• Purity for the Brauer group
• Symmetric bilinear forms and quadratic forms
• Hypersurfaces quartiques de dimension 3 : non-rationalité stable
• A Hasse principle for two dimensional global fields.
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Gersten's conjecture and the homology of schemes
• Duality in the flat cohomology of a surface
• Unramified cohomology of quadrics, I
• Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmique
• Central Simple Algebras and Galois Cohomology
• Fields of \(u\)-invariant \(9\)
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