Deformation of Singularities and the Homology of Intersection Spaces

  title={Deformation of Singularities and the Homology of Intersection Spaces},
  author={Laurentiu Maxim},
While intersection cohomology is stable under small resolutions, both ordinary and intersection cohomology are unstable under smooth deformation of singularities. For complex projective algebraic hypersurfaces with an isolated singularity, we show that the first author’s cohomology of intersection spaces is stable under smooth deformations in all degrees except possibly the middle, and in the middle degree precisely when the monodromy action on the cohomology of the Milnor fiber is trivial. In… CONTINUE READING
2 Citations
25 References
Similar Papers


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 25 references

Topological invariants of stratified spaces Springer Monographs in Mathematics

  • M. Banagl
  • Springer, Berlin
  • 2007
Highly Influential
4 Excerpts

Sheaves in Topology

  • A. Dimca
  • Universitext, Springer-Verlag
  • 2004
Highly Influential
5 Excerpts

Intersection spaces

  • M. Banagl, N. Budur, L. Maxim
  • perverse sheaves and type IIB string theory…
  • 2012
2 Excerpts

Plane curve with trivial monodromy is A1

  • M. Oka
  • 2010
1 Excerpt

Similar Papers

Loading similar papers…