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arXiv · 2406.07046

A non-vanishing conjecture for cotangent bundles on elliptic surfaces

Haesong Seo
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Abstract

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

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Haesong Seo. 2024-06-11. A non-vanishing conjecture for cotangent bundles on elliptic surfaces. https://arxiv.org/abs/2406.07046

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