A note on higher Todd genera of complex manifolds

zbMath1458.32021arXiv2003.02041MaRDI QIDQ5144710

Francesco Bei, Paolo Piazza

Publication date: 19 January 2021

Full work available at URL: https://arxiv.org/abs/2003.02041

zbMATH Keywords

resolution of singularitiescomplex manifoldanalytic \(K\)-homologybimeromorphic mapTodd genera

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Topological aspects of complex manifolds (32Q55) Riemann-Roch theorems, Chern characters (19L10)

Cites Work

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• \(L^2\)-theory for the \(\overline{\partial}\)-operator on compact complex spaces
• Higher Todd classes and holomorphic group actions
• The Riemann-Roch theorem for complex spaces
• Structure theorems for modifications of complex spaces
• Degenerating Hermitian metrics and spectral geometry of the canonical bundle
• \(L^2\)-properties of the \(\overline{\partial}\) and the \(\overline{\partial}\)-Neumann operator on spaces with isolated singularities
• HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
• Torification and factorization of birational maps
• Local Simple Connectedness of Resolutions of Log-Terminal Singularities
• On Analytic Todd Classes of Singular Varieties
• L² Approaches in Several Complex Variables
• An analogue of the Novikov Conjecture in complex algebraic geometry

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