Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometry

DOI10.1515/CRELLE.2011.118zbMath1314.14049arXiv1002.1903MaRDI QIDQ2883847

Shun Tang

Publication date: 13 May 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1903

zbMATH Keywords

equivariant \(K\)-theoryequivariant arithmetic varietyfixed point formulaarithmetic \(K\)-theoryconcentration theorem

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Equivariant (K)-theory (19L47) (K)-theory of schemes (19E08)

Related Items (3)

The asymptotics of the holomorphic analytic torsion forms ⋮ Differential \(K\)-theory and localization formula for \(\eta \)-invariants ⋮ Localization theorem for higher arithmetic \(K\)-theory

Cites Work

• Superconnection currents and complex immersions
• Bott-Chern currents and complex immersions
• Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
• Lefschetz-Riemann-Roch for singular varieties
• Arithmetic intersection theory
• A Lefschetz formula in equivariant algebraic \(K\)-theory
• An Adams-Riemann-Roch theorem in Arakelov geometry
• A fixed point formula of Lefschetz type in Arakelov geometry. I: Statement and proof

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