Gersten's conjecture for the K-theory with torsion coefficients of a discrete valuation ring

DOI10.1016/0021-8693(86)90193-6zbMath0594.13014OpenAlexW2084372200WikidataQ122863592 ScholiaQ122863592MaRDI QIDQ1076737

Henri A. Gillet

Publication date: 1986

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90193-6

zbMATH Keywords

algebraic K-theoryregular local ringsGersten's conjecture

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Regular local rings (13H05) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (11)

Artin-Verdier duality for \(n\)-dimensional local fields involving higher algebraic \(K\)-sheaves ⋮ Some splitting results in the K-theory of rings. II ⋮ Higher \(l\)-adic Abel-Jacobi mappings and filtrations on Chow groups ⋮ The Merkuriev--Suslin theorem for any semi-local ring ⋮ Generalized Koszul resolution ⋮ Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion) ⋮ Determinant of period integrals ⋮ K-theory of discrete valuation rings ⋮ Motivic cohomology: applications and conjectures ⋮ The relative form of Gersten's conjecture over a discrete valuation ring: The smooth case ⋮ Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini

Cites Work

• On the K-theory of local fields
• Riemann-Roch theorems for higher algebraic K-theory
• The K-theory of an equicharacteristic discrete valuation ring injects into the K-theory of its field of quotients
• The relative form of Gersten's conjecture over a discrete valuation ring: The smooth case
• Primary homotopy theory
• Some Splitting Results in the K-Theory of Rings
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