Iitaka fibrations for dlt pairs polarized by a nef and log big divisor

We study lc pairs polarized by a nef and log big divisor. After proving the minimal model theory for projective lc pairs polarized by a nef and log big divisor, we prove the effectivity of the Iitaka fibrations and some boundedness results for dlt pairs polarized by a nef and log big divisor.

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Bibliographic Details
Published inForum of Mathematics, Sigma Vol. 10
Main Author Hashizume, Kenta
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.01.2022
Subjects
Algebraic and Complex Geometry
Numbers
14E30
14J40
14J17
Online AccessGet full text
ISSN2050-5094
2050-5094
DOI10.1017/fms.2022.75

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Summary:We study lc pairs polarized by a nef and log big divisor. After proving the minimal model theory for projective lc pairs polarized by a nef and log big divisor, we prove the effectivity of the Iitaka fibrations and some boundedness results for dlt pairs polarized by a nef and log big divisor.
Bibliography:ObjectType-Article-1
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ISSN:2050-5094
2050-5094
DOI:10.1017/fms.2022.75