On the Adams-Riemann-Roch theorem in positive characteristic

DOI10.1007/S00209-011-0841-7zbMath1271.14015arXiv0812.0254OpenAlexW2040234427MaRDI QIDQ415494

Richard Pink, Damien Roessler

Publication date: 8 May 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.0254

zbMATH Keywords

Adams-Riemann-Roch theoremBott classrelative Frobenius morphism

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) (K)-theory of schemes (19E08) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Riemann-Roch theorems, Chern characters (19L10)

Cites Work

• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• 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
• Riemann-Roch for singular varieties
• Riemann-Roch for tensor powers
• The Grothendieck-Riemann-Roch theorem for group scheme actions
• The Hirzebruch-Riemann-Roch theorem.

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