A residue formula for Chern classes associated with logarithmic connections

DOI10.3836/tjm/1270215030zbMath0501.32005OpenAlexW1988086532MaRDI QIDQ5905322

Makoto Ohtsuki

Publication date: 1982

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

Full work available at URL: https://doi.org/10.3836/tjm/1270215030

zbMATH Keywords

Chern classesresiduecompact complex manifoldholomorphic vector bundle with logarithmic connection

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic bundles and generalizations (32L05) Connections (general theory) (53C05) Residues for several complex variables (32A27)

Related Items (18)

On the relative logarithmic connections and relative residue formula ⋮ Good formal structures for flat meromorphic connections. III: Irregularity and turning loci ⋮ On Levi flat hypersurfaces with transversely affine foliation ⋮ Line bundles on the moduli space of parabolic connections over a compact Riemann surface ⋮ Equivariant Brill–Noether theory for elliptic operators and superrigidity of J-holomorphic maps ⋮ Irreducible flat \(\operatorname{SL}(2, \mathbb{R})\)-connections on the trivial holomorphic bundle ⋮ A note on the moduli spaces of holomorphic and logarithmic connections over a compact Riemann surface ⋮ Absolute sets of rigid local systems ⋮ Logarithmic connections on principal bundles over a Riemann surface ⋮ Criterion for logarithmic connections with prescribed residues ⋮ A residue formula for meromorphic connections and applications to stable sets of foliations ⋮ Parabolic \(\text{SL}_r \)-opers ⋮ CONNECTION ON PARABOLIC VECTOR BUNDLES OVER CURVES ⋮ A relation between the parabolic Chern characters of the de Rham bundles ⋮ On the direct images of parabolic vector bundles and parabolic connections ⋮ Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety ⋮ Orthogonal and symplectic parabolic bundles ⋮ Polyhedral Kähler manifolds

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