The Trace Map and Characteristic Classes for Coherent Sheaves

DOI10.2307/2374215zbMath0473.14008OpenAlexW2324606951MaRDI QIDQ3927342

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

Publication date: 1981

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374215

zbMATH Keywords

Chern classHodge cohomologyHirzebruch-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)

Related Items (14)

On the derived categories of coherent sheaves on some homogeneous spaces ⋮ On Gieseker stability for Higgs sheaves ⋮ The Hodge Chern character of holomorphic connections as a map of simplicial presheaves ⋮ Descent of dg cohesive modules for open covers on complex manifolds ⋮ An exceptional collection for Khovanov homology ⋮ The complex geometry of a hypothetical complex structure on \(S^6\) ⋮ Differential modules and \(K\)-groups ⋮ The global decomposition theorem for Hochschild (co-)homology of singular spaces via the Atiyah-Chern character ⋮ Twisted complexes on a ringed space as a dg-enhancement of the derived category of perfect complexes ⋮ Automorphisms and autoequivalences of generic analytic \(K3\) surfaces ⋮ Twisted complexes and simplicial homotopies ⋮ Unnamed Item ⋮ A Grothendieck-Riemann-Roch formula for maps of complex manifolds ⋮ Grothendieck-Riemann-Roch for complex manifolds

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