De Rham–Witt sheaves via algebraic cycles

DOI10.1112/S0010437X21007478zbMath1477.14015arXiv1504.08181OpenAlexW3195519021MaRDI QIDQ5009388

Amalendu Krishna, Jin Hyun Park

Publication date: 23 August 2021

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

Full work available at URL: https://arxiv.org/abs/1504.08181

zbMATH Keywords

algebraic cyclescrystalline cohomologyde Rham-Witt complex

Mathematics Subject Classification ID

Algebraic cycles (14C25) (p)-adic cohomology, crystalline cohomology (14F30) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Witt vectors and related rings (13F35)

Related Items (2)

A motivic construction of the de Rham-Witt complex ⋮ Motivic cohomology of fat points in Milnor range via formal and rigid geometries

Cites Work

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• On additive higher Chow groups of affine schemes
• Moving lemma for additive higher Chow groups
• A moving lemma for relative 0-cycles
• On the 2-typical de Rham-Witt complex
• The Gersten conjecture for Milnor \(K\)-theory
• On the multiplicative properties of the de Rham-Witt complex. I
• Algebraic cycles and higher K-theory
• \(p\)-adic étale cohomology
• Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory
• Cohomologie cristalline des schemas de caractéristique \(p >0\)
• Algebraic K-theory and crystalline cohomology
• The additive dilogarithm
• Milnor \(K\)-theory of rings, higher Chow groups and applications
• A module structure and a vanishing theorem for cycles with modulus
• The \(K\)-theory of fields in characteristic \(p\)
• Zero-cycles with modulus and relative \(K\)-theory
• The big de Rham-Witt complex
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Mixed motives over k[t/(t^m+1)]
• A moving lemma for cycles with very ample modulus
• The generalized de Rham-Witt complex over a field is a complex of zero-cycles
• Additive higher Chow groups of schemes
• Milnor 𝐾-theory of local rings with finite residue fields
• Regulators on additive higher Chow groups
• General Néron desingularization and approximation
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• An additive version of higher Chow groups
• Higher Chow groups with modulus and relative Milnor $K$-theory
• Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmique
• The spectral sequence relating algebraic K-theory to motivic cohomology
• On the de Rham–Witt complex in mixed characteristic
• K-theory and logarithmic Hodge-Witt sheaves of formal schemes in characteristic p
• DGA-Structure on Additive Higher Chow Groups
• Erratum to “The generalized de Rham-Witt complex over a field is a complex of zero-cycles”
• The homotopy coniveau tower
• The de Rham-Witt complex and 𝑝-adic vanishing cycles

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