## $L^ 2$-Dolbeault complexes on singular curves and surfaces

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- by Peter Haskell PDF
- Proc. Amer. Math. Soc.
**107**(1989), 517-526 Request permission

## Abstract:

Give the smooth part of a singular curve or normal surface the metric induced from the ambient projective space. On this incomplete manifold the minimal ${L^2}\bar \partial$-complex of $(0,q)$-forms has finite-dimensional cohomology groups. The Euler characteristic of this cohomology equals the Todd genus of any desingularization of the singular variety.## References

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## Additional Information

- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**107**(1989), 517-526 - MSC: Primary 58G05
- DOI: https://doi.org/10.1090/S0002-9939-1989-0975647-X
- MathSciNet review: 975647