Kodaira-Saito vanishing via Higgs bundles in positive characteristic
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Publication:2331066
DOI10.1515/CRELLE-2017-0036zbMATH Open1468.14044arXiv1611.09880OpenAlexW2963650467MaRDI QIDQ2331066
Author name not available (Why is that?)
Publication date: 24 October 2019
Published in: (Search for Journal in Brave)
Abstract: The goal of this paper is to give a new proof of a special case of the Kodaira-Saito vanishing theorem for a variation of Hodge structure on the complement of a divisor with normal crossings. The proof does not use the theory of mixed Hodge modules, but instead reduces it to a more general vanishing theorem for semistable nilpotent Higgs bundles, which is then proved by using some facts about Higgs bundles in positive characteristic.
Full work available at URL: https://arxiv.org/abs/1611.09880
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