Rost nilpotence and higher unramified cohomology
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Publication:2274033
DOI10.1016/j.aim.2019.106770zbMath1436.14011arXiv1807.08163OpenAlexW2969808942WikidataQ127334199 ScholiaQ127334199MaRDI QIDQ2274033
Publication date: 19 September 2019
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.08163
(3)-folds (14J30) (Equivariant) Chow groups and rings; motives (14C15) Higher symbols, Milnor (K)-theory (19D45) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)
Cites Work
- Chow groups are finite dimensional, in some sense
- La conjecture de Gersten pour les faisceaux de Hodge-Witt logarithmique. (The Gersten conjecture for the logarithmic Hodge-Witt sheaves)
- The Rost nilpotence theorem for geometrically rational surfaces
- The Gersten conjecture for Milnor \(K\)-theory
- Resolution of singularities of threefolds in positive characteristic. II
- Algebraic cycles and higher K-theory
- \(p\)-adic étale cohomology
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- Local uniformization on algebraic surfaces over ground fields of characteristic \(p\neq 0\)
- Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory
- Desingularization of two-dimensional schemes
- Variétés unirationelles non rationelles: Au-delà de l'exemple d'Artin et Mumford. (Non rational unirational varieties: Beyond the Artin-Mumford example)
- Chow groups with coefficients
- A short proof of Rost nilpotence via refined correspondences
- Rost nilpotence and étale motivic cohomology
- Motivic decomposition of isotropic projective homogeneous varieties
- Motivic cohomology with \(\mathbb Z/2\)-coefficients
- Classes of motivic étale cycles
- Cup products in sheaf cohomology, pure injectives, and a substitute for projective resolutions
- The \(K\)-theory of fields in characteristic \(p\)
- On Chow motives of surfaces
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- On the Rost nilpotence theorem for threefolds
- Joins and Intersections
- Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmique
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