Proof of Nadel’s conjecture and direct image for relative $K$-theory

DOI10.24033/BSMF.2420zbMATH Open1005.19002OpenAlexW81294320WikidataQ123160862 ScholiaQ123160862MaRDI QIDQ3146046

A. Berthomieu

Publication date: 11 September 2002

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/Publications/Bulletin/130/html/smf_bull_130_253-307.html

zbMATH Keywords

vector bundlescharacteristic classesRiemann-Roch theoremDeligne-Beilinson cohomologyChern-Simons formsmoduli spaces of vector bundlesholomorphic bundlesrelative \(K\)-theorycomplex analytic manifoldquasi-projective manifoldsHodge-Deligne cohomology

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Riemann-Roch theorems (14C40) Algebraic moduli problems, moduli of vector bundles (14D20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Relations of (K)-theory with cohomology theories (19E20) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Riemann-Roch theorems, Chern characters (19L10)

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