Higher arithmetic \(K\)-theory

DOI10.2977/prims/1145475225zbMath1094.14014arXivmath/0204321OpenAlexW2042234974MaRDI QIDQ2580241

Yuichiro Takeda

Publication date: 18 January 2006

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204321

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic cycles (14C25) (K)-theory of schemes (19E08)

Related Items (7)

Arakelov motivic cohomology I ⋮ Arakelov motivic cohomology II ⋮ Regulators and cycle maps in higher-dimensional differential algebraic \(K\)-theory ⋮ Higher arithmetic intersection theory ⋮ Localization theorem for higher arithmetic \(K\)-theory ⋮ A chain morphism for Adams operations on rational algebraic K-theory ⋮ Adams operations on higher arithmetic \(K\)-theory

Cites Work

• Characteristic classes for algebraic vector bundles with Hermitian metric. I
• Higher regulators and values of \(L\)-functions
• The loop space of the Q-construction
• Higher Bott-Chern forms and Beilinson's regulator
• Analytic torsion and the arithmetic Todd genus. (With an appendix by D. Zagier)
• Arakelov Chow groups of abelian schemes, arithmetic Fourier transform, and analogues of the standard conjectures of Lefschetz type
• Simplicial homotopy theory
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