Grothendieck-Riemann-Roch for complex manifolds

DOI10.1090/S0273-0979-1981-14939-9zbMath0495.14010OpenAlexW2066940305MaRDI QIDQ3958564

Yue Lin L. Tong, Domingo Toledo, Nigel R. O'Brian

Publication date: 1981

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1981-14939-9

zbMATH Keywords

Chern numbersHodge cohomologyGrothendieck Riemann Roch

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Characteristic classes and numbers in differential topology (57R20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Divisors, linear systems, invertible sheaves (14C20) Complex manifolds (32Q99)

Related Items (8)

Riemann-Roch for general algebraic varieties ⋮ The Riemann-Roch theorem for complex spaces ⋮ Kähler geometry of Douady spaces ⋮ The Hodge Chern character of holomorphic connections as a map of simplicial presheaves ⋮ The Weil–Petersson current on Douady spaces ⋮ Automorphisms and autoequivalences of generic analytic \(K3\) surfaces ⋮ The Beauville-Bogomolov class as a characteristic class ⋮ A Grothendieck-Riemann-Roch formula for maps of complex manifolds

Cites Work

• The Riemann-Roch theorem for analytic embeddings
• Résidus et dualité
• A parametrix for \(\overline\partial\) and Riemann-Roch in Cech theory
• Duality and intersection theory in complex manifolds. I
• On the groups \(H(\Pi,n)\). I
• Complex Analytic Connections in Fibre Bundles
• Le théorème de Riemann-Roch
• The Trace Map and Characteristic Classes for Coherent Sheaves
• Hirzebruch-Riemann-Roch for Coherent Sheaves

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