A non-vanishing conjecture for cotangent bundles on elliptic surfaces

In this paper, we prove the non-vanishing conjecture for cotangent bundles on isotrivial elliptic surfaces. Combined with the result by Höring and Peternell, it completely solves the question for surfaces with Kodaira dimension at most $1$.

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Bibliographic Details
Main Author: Seo, Haesong
Format: Article
Language:English
Published: Académie des sciences 2025-05-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.721/
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