Prime Ideals of Mixed Artin-Tate Motives

DOI10.1017/is013001031jkt215zbMath1275.14021OpenAlexW2125762572MaRDI QIDQ4923120

Tobias J. Peter

Publication date: 5 June 2013

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

Full work available at URL: https://doi.org/10.1017/is013001031jkt215

zbMATH Keywords

triangulated categoryPicard groupmixed Artin-Tate motives

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Motivic cohomology; motivic homotopy theory (14F42)

Related Items (11)

On some spectral spaces associated to tensor triangulated categories ⋮ Three real Artin-Tate motives ⋮ Thick tensor ideals of right bounded derived categories ⋮ PRIME TENSOR IDEALS IN ABELIAN CATEGORIES OF REPRESENTATIONS OF QUIVERS OF TYPE <i>A </i> ⋮ Some Observations About Motivic Tensor Triangulated Geometry over a Finite Field ⋮ Realizations of pairs and Oka families in tensor triangulated categories ⋮ Picard groups, weight structures, and (noncommutative) mixed motives ⋮ Primes and fields in stable motivic homotopy theory ⋮ A topological nullstellensatz for tensor-triangulated categories ⋮ tt-geometry of Tate motives over algebraically closed fields ⋮ A note on Tannakian categories and mixed motives

Cites Work

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• A Künneth formula in tensor triangulated categories
• Spectra, spectra, spectra -- tensor triangular spectra versus Zariski spectra of endomorphism rings
• On the cohomology and K-theory of the general linear groups over a finite field
• On finite dimensionality of mixed Tate motives
• Stable real cohomology of arithmetic groups
• Cycles, Transfers, and Motivic Homology Theories. (AM-143)
• Des catégories abéliennes
• The spectrum of prime ideals in tensor triangulated categories

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