A fixed point formula of Lefschetz type in Arakelov geometry. I: Statement and proof

DOI10.1007/s002220100151zbMath0999.14002arXivmath/0105098OpenAlexW2951229759MaRDI QIDQ5944961

Damien Roessler, Kai Köhler

Publication date: 29 November 2002

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

Full work available at URL: https://arxiv.org/abs/math/0105098

zbMATH Keywords

analytic torsionequivariant analytic torsionArakelov geometryChern characterBismut equivariant R-classBismut's immersion theoremBott-Chern classdeformation to the normal coneequivariant arithmetic degreeequivariant arithmetic varietyequivariant Quillen metricEuler-Green currentfixed point formulafixed point schemeLefschetz-Riemann-RochTodd formwave front setanomaly termarithmetic Bott residue formulaarithmetic Chern numberarithmetic Lefschetz fixed point formulaarithmetic Riemann-Roch theoremcharacteristic current

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Riemann-Roch theorems (14C40) Index theory and related fixed-point theorems on manifolds (58J20) Arithmetic ground fields for abelian varieties (14K15) Determinants and determinant bundles, analytic torsion (58J52) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

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