On the \(\bmod p\) unramified cohomology of varieties having universally trivial Chow group of zero-cycles

DOI10.1007/S00229-022-01381-3OpenAlexW3092551366MaRDI QIDQ2700858

Shusuke Otabe

Publication date: 27 April 2023

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

Full work available at URL: https://arxiv.org/abs/2010.03808

Mathematics Subject Classification ID

(Equivariant) Chow groups and rings; motives (14C15) Motivic cohomology; motivic homotopy theory (14F42) Rationality questions in algebraic geometry (14E08)

Cites Work

• Cohomological invariants of algebraic tori
• La conjecture de Gersten pour les faisceaux de Hodge-Witt logarithmique. (The Gersten conjecture for the logarithmic Hodge-Witt sheaves)
• On different notions of tameness in arithmetic geometry
• \(p\)-adic étale cohomology
• Algebraic K-theory and crystalline cohomology
• Chow groups with coefficients
• The index of an algebraic variety
• Relatively unramified elements in cycle modules
• Unramified elements in cycle modules
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Higher algebraic K-theory: I
• Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmique
• Universal Triviality of the Chow Group of 0-cycles and the Brauer Group
• Unramified Brauer groups of conic bundle threefolds in characteristic two
• Unramified logarithmic Hodge–Witt cohomology and -invariance
• Cohomological Invariants in Positive Characteristic
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