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The study of harmonic differential forms on complex projective varieties, their invariantly defined filtrations, their integrals over topological cycles, especially over subvarieties, the deformations of these integrals and filtrations in families, and a multitude of generalizations.
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If monodromy representation is unipotent then special fiber is snc?
We know, if $π : X → S$ is a generically smooth family of complex projective
varieties, such that $X_0 := π^{−1}(0)$ is an snc divisor in $X$, then the
monodromy representation is unipotent. Now assum …