Algebraic Cycles and the Lie Algebra of Mixed Tate Motives

DOI10.2307/2939288zbMath0762.14002OpenAlexW4214671562MaRDI QIDQ3986147

Spencer Bloch

Publication date: 27 June 1992

Full work available at URL: https://doi.org/10.2307/2939288

zbMATH Keywords

polylogarithmsminimal modelsalgebraic cycleshigher Chow groupsmixed Tate motivesadmissible cycle

Mathematics Subject Classification ID

Minimal model program (Mori theory, extremal rays) (14E30) Algebraic cycles (14C25) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Generalizations (algebraic spaces, stacks) (14A20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (9)

Rational mixed Tate motivic graphs ⋮ Goncharov's relations in Bloch's higher Chow group \(\text{CH}^{3}(F,5)\) ⋮ A commutative regulator map into Deligne-Beilinson cohomology ⋮ Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory ⋮ Motives for an elliptic curve ⋮ tt-geometry of Tate motives over algebraically closed fields ⋮ The cycle complex over \(\mathbb{P}^1\) minus 3 points: toward multiple zeta value cycles ⋮ From polygons and symbols to polylogarithmic functions ⋮ RELATIVE CYCLES WITH MODULI AND REGULATOR MAPS

Cites Work

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• Algebraic cycles and higher K-theory
• Hodge cycles, motives, and Shimura varieties
• Infinitesimal computations in topology
• The algebraic topology of smooth algebraic varieties
• Strong conical hull intersection property, bounded linear regularity, Jameson's property \((G)\), and error bounds in convex optimization
• The classical trilogarithm, algebraic 𝐾-theory of fields, and Dedekind zeta functions

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