Zeta functions in triangulated categories

DOI10.1134/S0001434610030053zbMath1223.14025arXivmath/0605040MaRDI QIDQ1957056

Vladimir Guletskii

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605040

zbMATH Keywords

homotopy categorytriangulated categoryGrothendieck groupmonoidal categorymotivic zeta functionfinite-dimensional motives

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (Equivariant) Chow groups and rings; motives (14C15) Grothendieck groups (category-theoretic aspects) (18F30) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (2)

Exponentiation of motivic measures ⋮ Symmetric powers in abstract homotopy categories

Cites Work

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• Chow groups are finite dimensional, in some sense
• Finite-dimensional objects in distinguished triangles
• On the motive of a quotient variety
• Motivic symmetric spectra
• Schur functors and motives
• A note of functional equations for zeta functions with values in Chow motives
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
• Triangulated Categories
• Rational 𝑆¹-equivariant stable homotopy theory
• Rationality criteria for motivic zeta functions
• Descent, motives and K-theory.
• Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky versus Hanamura
• On the Rationality of the Zeta Function of an Algebraic Variety

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