The triangulated category of K-motives

DOI10.1017/is014004013jkt263zbMath1327.14106arXiv1302.2163OpenAlexW2963002851MaRDI QIDQ2877707

Grigory Garkusha, I. A. Panin

Publication date: 25 August 2014

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2163

zbMATH Keywords

algebraic \(K\)-theorymotivic homotopy theoryspectral categories

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) (K)-theory of schemes (19E08) Motivic cohomology; motivic homotopy theory (14F42)

Related Items (6)

Comparing motives of smooth algebraic varieties ⋮ Cohomological correspondence categories ⋮ Correspondences and stable homotopy theory ⋮ ON THE MOTIVIC SPECTRAL SEQUENCE ⋮ Reconstructing rational stable motivic homotopy theory ⋮ Derived categories for Grothendieck categories of enriched functors

Cites Work

• Unnamed Item
• Stable model categories are categories of modules
• Weight filtrations via commuting automorphisms
• \(K\)-motives of algebraic varieties
• The stable \(\mathbb{A}^1\)-connectivity theorems
• Symmetric spectra
• \(\mathbb{A}^1\)-homotopy theory of schemes

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