Uniqueness of equivariant singular Bott-Chern classes

DOI10.5802/aif.2727zbMath1261.14013arXiv1005.5025OpenAlexW2962789925MaRDI QIDQ715151

Shun Tang

Publication date: 2 November 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.5025

zbMATH Keywords

Riemann-Rochaxiomatic for Bott-Chern formsequivariant secondary classessingular Bott-Chern forms

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Relations of (K)-theory with cohomology theories (19E20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Currents (32U40)

Cites Work

• Homological dimension and syzygies
• Bott-Chern currents and complex immersions
• Singular Bott-Chern classes and the arithmetic Grothendieck Riemann Roch theorem for closed 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
• Arithmetic intersection theory
• A Lefschetz formula in equivariant algebraic \(K\)-theory
• Equivariant immersions and Quillen metrics
• An arithmetic Riemann-Roch theorem
• Intégration sur un ensemble analytique complexe
• The Grothendieck-Riemann-Roch theorem for group scheme actions
• A fixed point formula of Lefschetz type in Arakelov geometry. I: Statement and proof
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