An Adams-Riemann-Roch theorem in Arakelov geometry

DOI10.1215/S0012-7094-99-09603-5zbMath0961.14006MaRDI QIDQ1974880

Damien Roessler

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Arakelov geometryarithmetic Adams-Riemann-Roch theorem\(\lambda\)-operationsArakelov-Grothendieck grouparithmetic Bott classarithmetic Grothendieck-Riemann-Roch theorem

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) (K)-theory of schemes (19E08) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items

Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometry, Unnamed Item, Arakelov motivic cohomology I, Arakelov motivic cohomology II, Differential \(K\)-theory and localization formula for \(\eta \)-invariants, Canonical key formula for projective abelian schemes, An arithmetic Riemann-Roch theorem in higher degrees, Lambda-structure on Grothendieck groups of Hermitian vector bundles, Families of equivariant immersions and analytic torsion forms

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