A non-vanishing conjecture for cotangent bundles on elliptic surfaces
Algebraic Geometry
2025-01-24 v3
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 .
Cite
@article{arxiv.2406.07046,
title = {A non-vanishing conjecture for cotangent bundles on elliptic surfaces},
author = {Haesong Seo},
journal= {arXiv preprint arXiv:2406.07046},
year = {2025}
}
Comments
12 pages, to appear in C. R. Math