A fixed point formula of Lefschetz type in Arakelov geometry. III: Representations of Chevalley schemes and heights of flag varieties

DOI10.1007/s002220100187zbMath1023.14008arXivmath/0105100OpenAlexW3098601436MaRDI QIDQ1608562

Christian Kaiser, Kai Köhler

Publication date: 8 August 2002

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105100

zbMATH Keywords

Arakelov geometryJantzen sum formulageneralized flag varietyequivariant Ray-Singer torsionarithmetic Lefschetz formulaHermitean symmetric spaceintegral representations of Chevalley schemes

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Heights (11G50) Determinants and determinant bundles, analytic torsion (58J52) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (6)

Analytic torsion forms for fibrations by projective curves ⋮ Quaternionic analytic torsion. ⋮ Orbifolds and analytic torsions ⋮ Schubert polynomials and Arakelov theory of orthogonal flag varieties ⋮ Analytic torsion of Hirzebruch surfaces ⋮ A fixed point formula of Lefschetz type in Arakelov geometry. I: Statement and proof

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