Concepedia

An Adams-Riemann-Roch theorem in Arakelov geometry

Damian Roessler

Duke Mathematical Journal · 1999 · 32 citations · 13 references

DOI

Concepts

Abstract

We prove an analog of the classical Riemann-Roch theorem for Adams operations acting on K-theory, in the context of Arakelov geometry.

References

13

Analytic torsion and holomorphic determinant bundles

Jean‐Michel Bismut, Henri Gillet, Christophe Soul� · Communications in Mathematical Physics · 1988 · 330 citations

, , +11

Analytic torsion and holomorphic determinant bundles I. Bott-Chern forms and analytic torsion

Jean‐Michel Bismut, Henri Gillet, Christophe Soul� · Communications in Mathematical Physics · 1988 · 275 citations

, , +11

An arithmetic Riemann-Roch theorem

Henri Gillet, Christophe Soul� · Inventiones mathematicae · 1992 · 222 citations

, , +4

Group representations, λ-rings and the J-homomorphism

Michael Atiyah, David Tall · Topology · 1969 · 202 citations

, , +9

Characteristic Classes for Algebraic Vector Bundles with Hermitian Metric, II

Henri Gillet, Christophe Soulé · Annals of Mathematics · 1990 · 174 citations

, , +13