The cohomology of line bundles of splice-quotient singularities

@article{Nemethi2008TheCO,
  title={The cohomology of line bundles of splice-quotient singularities},
  author={Andr'as N'emethi},
  journal={Advances in Mathematics},
  year={2008},
  volume={229},
  pages={2503-2524}
}
  • A. N'emethi
  • Published 22 October 2008
  • Mathematics
  • Advances in Mathematics
View PDF on arXiv
56 Citations
Highly Influential Citations
4
Background Citations
18
Methods Citations
4

56 Citations

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On Poincaré series associated with links of normal surface singularities

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...

References

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Geometry of splice-quotient singularities

We obtain a new important basic result on splice-quotient singularities in an elegant combinatorial-geometric way: every level of the divisorial filtration of the ring of functions is generated by…

Complete intersection singularities of splice type as universal abelian covers

It has long been known that every quasi-homogeneous normal complex surface singularity with Q-homology sphere link has universal abelian cover a Brieskorn complete intersection singularity. We…

Topology, geometry, and equations of normal surface singularities

Abstract In continuing joint work with Walter Neumann, we consider the relationship between three different points of view in describing a (germ of a) complex normal surface singularity. The explicit…

Surgery formula for Seiberg–Witten invariants of negative definite plumbed 3-manifolds

Abstract We derive a cut-and-paste surgery formula of Seiberg–Witten invariants for negative definite plumbed rational homology 3-spheres. It is similar to (and motivated by) Okuma's recursion…

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The geometric genus of splice-quotient singularities

. We prove a formula for the geometric genus of splice-quotient singularities (in the sense of Neumann and Wahl). This formula enables us to compute the invariant from the resolution graph; in fact,…

Universal Abelian covers of rational surface singularities and multi-index filtrations

In previous papers, the authors computed the Poincaré series of some (multi-index) filtrations on the ring of germs of functions on a rational surface singularity. These Poincaré series were…