Strict Arakelov inequality for a family of varieties of general type

Let $ f:\, X\to Y $ be a semistable non-isotrivial family of $ n $-folds over a smooth projective curve with discriminant locus $ S \subseteq Y $ and with general fiber $ F $ of general type. We show the strict Arakelov inequality $ {\deg f_*\omega_{X/Y}^\nu \over {{{\rm{rank\,}}}} f_*\omega_{X...

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Bibliographic Details
Main Authors: Xin Lu, Jinbang Yang, Kang Zuo
Format: Article
Language:English
Published: AIMS Press 2022-05-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022135?viewType=HTML