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Decomposition, purity and fibrations by normal crossing divisors

2018/11/09 by Fouad El Zein, Zein, Fouad El, Dung Trang Lê +3
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1811.04774

arXiv admin note: text overlap with arXiv:1302.5814

arxiv created 2018/11/09 · arxiv updated 2018/11/15

Abstract

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to fibrations by normal crossings divisors over the strata and explain the relation with the local purity theorem an unpublished result of Deligne and Gabber.

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