Reciprocity sheaves

DOI10.1112/S0010437X16007466zbMath1419.19001arXiv1402.4201MaRDI QIDQ5360239

Takao Yamazaki, Shuji Saito, Kay Rülling, Kahn, Bruno

Publication date: 28 September 2017

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

Full work available at URL: https://arxiv.org/abs/1402.4201

zbMATH Keywords

homotopy invarianceWeil reciprocitypresheaves with transfers

Mathematics Subject Classification ID

Motivic cohomology; motivic homotopy theory (14F42) Symbols and arithmetic ((K)-theoretic aspects) (19F15) Higher symbols, Milnor (K)-theory (19D45) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items (max. 100)

RECIPROCITY SHEAVES AND THEIR RAMIFICATION FILTRATIONS ⋮ CONNECTIVITY AND PURITY FOR LOGARITHMIC MOTIVES ⋮ Motives and homotopy theory in logarithmic geometry ⋮ Motives with modulus. III: The categories of motives ⋮ Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus ⋮ Unramified logarithmic Hodge–Witt cohomology and -invariance ⋮ Suslin homology of relative curves with modulus ⋮ Torsion 0-cycles with modulus on affine varieties ⋮ On the cohomology of reciprocity sheaves ⋮ A motivic homotopy theory without \(\mathbb{A}^1 \)-invariance ⋮ Motivic cohomology ⋮ GYSIN TRIANGLES IN THE CATEGORY OF MOTIFS WITH MODULUS ⋮ Ramification theory of reciprocity sheaves. II: Higher local symbols ⋮ Derived log Albanese sheaves ⋮ A motivic construction of the de Rham-Witt complex ⋮ Ramification theory of reciprocity sheaves. I: Zariski-Nagata purity ⋮ Cube invariance of higher Chow groups with modulus ⋮ Differential forms in positive characteristic avoiding resolution of singularities ⋮ A cycle class map from Chow groups with modulus to relative \(K\)-theory ⋮ Purity of reciprocity sheaves ⋮ Tensor structures in the theory of modulus presheaves with transfers ⋮ RELATIVE CYCLES WITH MODULI AND REGULATOR MAPS ⋮ A generalized Contou-Carrère symbol and its reciprocity laws in higher dimensions ⋮ Reciprocity sheaves and logarithmic motives

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