Nearby cycles and semipositivity in positive characteristic
type: Item
instance of: scholarly article
title: Nearby cycles and semipositivity in positive characteristic
DOI: 10.4171/JEMS/1235
author: Adrian Langer
published in: Journal of the European Mathematical Society (JEMS)
publication date: 2022-10-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/1902.05745
review text: Summary: We study restriction of logarithmic Higgs bundles to the boundary divisor and we construct the corresponding nearby-cycles functor in positive characteristic. As applications we prove some strong semipositivity theorems for analogs of complex polarized variations of Hodge structures and their generalizations. This implies, e.g., semipositivity for the relative canonical divisor of a semistable reduction in positive characteristic and it gives some new strong results generalizing semipositivity even for complex varieties.
Mathematics Subject Classification ID: 14J60
Mathematics Subject Classification ID: 13F35
Mathematics Subject Classification ID: 14D06
zbMATH DE Number: 7608243
zbMATH Keywords: Higgs bundles
zbMATH Keywords: nearby cycles
zbMATH Keywords: positive characteristic
zbMATH Keywords: semipositivity
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7608243