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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 …