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Singularities in algebraic/complex/differential geometry and analysis of ODEs/PDEs. Singular spaces, vector fields, etc.
2
votes
1
answer
180
views
How can I compute the mixed hodge structure for three copies of $\mathbb{P}^1$ intersecting ...
I know there is a spectral sequence for a variety with normal crossing singularities $X$ which gives a tool for making the computation of the mixed hodge structure computable. How can I compute the mi …
6
votes
1
answer
740
views
What tools can I use to compute the cohomology of the fibers of a Lefschetz Pencil?
I'm learning about Lefschetz pencils and vanishing cycles and have looked at a few sources:
http://www.math.purdue.edu/~dvb/preprints/sheaves.pdf
http://www3.nd.edu/~lnicolae/Morse2nd.pdf
Voisin's C …