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 $1$.

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

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