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Nearby cycles and semipositivity in positive characteristic

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cris.lastimport.scopus2024-02-12T20:28:12Z
dc.abstract.enWe 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.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorLanger, Adrian
dc.date.accessioned2024-01-25T13:31:23Z
dc.date.available2024-01-25T13:31:23Z
dc.date.copyright2022-04-27
dc.date.issued2022
dc.description.accesstimeAT_PUBLICATION
dc.description.financePublikacja bezkosztowa
dc.description.number11
dc.description.versionFINAL_PUBLISHED
dc.description.volume24
dc.identifier.doi10.4171/JEMS/1235
dc.identifier.issn1435-9855
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/113451
dc.identifier.weblinkhttp://dx.doi.org/10.4171/jems/1235
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofJournal of the European Mathematical Society
dc.relation.pages3829-3872
dc.rightsCC-BY
dc.sciencecloudnosend
dc.subject.enHiggs bundles
dc.subject.enNearby cycles
dc.subject.enPositive characteristic
dc.subject.enSemipositivity
dc.titleNearby cycles and semipositivity in positive characteristic
dc.typeJournalArticle
dspace.entity.typePublication