Talk:Leray spectral sequence

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Todo

• Update Notation
• Mention degeneration theorems
• Include examples
  • Smooth morphism of varieties
  • Quotient varieties + equivariant cohomology (http://www.ams.org/distribution/mmj/vol3-3-2003/peters-steenbrink.pdf)
  • Resolution of Singularities for non-degenerating spectral sequence — Preceding unsigned comment added by 70.59.20.131 (talk) 03:29, 12 September 2017 (UTC)
• mention perverse sheaves for degenerate situation

References

• Page 4 of https://pcmi.ias.edu/files/Mark%20De%20Cataldo%20Lecture%20Series.pdf
• https://arxiv.org/abs/math/0301140

Serre spectral sequence

This is a short-sighted article that grossly underestimates the computational importance of the Leray spectral sequence, and seriously over-estimates the importance of Grothendieck's much later contribution. One glaring lacuna is that Serre's "spectral sequence of a fibration" remains a bread-and-butter tool in algebraic topology, and was discovered by Serre as a generalization of one version of the Leray spectral sequence. I also think this sort of article that should feature many more examples regarding applications of the spectral sequence to computations of sheaf cohomology. 96.232.123.83 (talk) 16:21, 22 November 2023 (UTC)