Decomposition, purity and fibrations by normal crossing divisors
Algebraic Geometry
2018-11-15 v1
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to fibrations by normal crossings divisors over the strata and explain the relation with the local purity theorem an unpublished result of Deligne and Gabber.
Keywords
Cite
@article{arxiv.1811.04774,
title = {Decomposition, purity and fibrations by normal crossing divisors},
author = {Fouad El Zein and Dung Trang Lê and Xuanming Ye},
journal= {arXiv preprint arXiv:1811.04774},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1302.5814