Higher Chow groups with modulus and relative Milnor $K$-theory

DOI10.1090/tran/7018zbMath1423.14041arXiv1504.02669OpenAlexW2964187067MaRDI QIDQ4596344

Kay Rülling, Shuji Saito

Publication date: 1 December 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02669

Mathematics Subject Classification ID

Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items (16)

Bloch’s formula for 0-cycles with modulus and higher-dimensional class field theory ⋮ Idele class groups with modulus ⋮ Zero cycles with modulus and zero cycles on singular varieties ⋮ A motivic homotopy theory without \(\mathbb{A}^1 \)-invariance ⋮ Cycle class maps for Chow groups of zero-cycles with modulus ⋮ 𝐾-theory and 0-cycles on schemes ⋮ CHERN CLASSES WITH MODULUS ⋮ HIGHER IDELES AND CLASS FIELD THEORY ⋮ Chow-Witt rings of split quadrics ⋮ A cycle class map from Chow groups with modulus to relative \(K\)-theory ⋮ Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes over \(\mathbb F_qt\) ⋮ Duality for relative logarithmic de Rham–Witt sheaves and wildly ramified class field theory over finite fields ⋮ RELATIVE CYCLES WITH MODULI AND REGULATOR MAPS ⋮ Motivic cohomology of fat points in Milnor range via formal and rigid geometries ⋮ On \(p\)-adic vanishing cycles of log smooth families ⋮ De Rham–Witt sheaves via algebraic cycles

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