Decomposition, purity and fibrations by normal crossing divisors
classification
🧮 math.AG
keywords
decompositiondivisorsfibrationsnormalpuritytheoremcrossingcrossings
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We give a simple geometric proof of the decomposition theorem in terms of Thom-Whitney stratifications by reduction to fibrations by normal crossings divisors over the strata and explain the relation with the local purity theorem an unpublished result of Deligne and Gabber.
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