Chern classes in Deligne cohomology for coherent analytic sheaves

DOI10.1007/s00208-009-0430-9zbMath1193.14026arXiv0712.2207OpenAlexW1963932362MaRDI QIDQ966435

Julien Grivaux

Publication date: 23 April 2010

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

Full work available at URL: https://arxiv.org/abs/0712.2207

zbMATH Keywords

Chern classesChern charactercoherent sheavesGrothendieck-Riemann-Roch theoremblow-upsWhitney formulalocally free resolutiontorsion sheaves

Mathematics Subject Classification ID

Related Items (7)

Dolbeault dga and \(L_{\infty}\)-algebroid of the formal neighborhood ⋮ Hypoelliptic Laplacian and Bott-Chern cohomology ⋮ Algebraic geometry versus Kähler geometry ⋮ Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology ⋮ Vector bundles on proper toric 3-folds and certain other schemes ⋮ The Beauville-Bogomolov class as a characteristic class ⋮ Strongly pseudo-effective and numerically flat reflexive sheaves

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