A non-vanishing conjecture for cotangent bundles on elliptic surfaces
arXiv:2406.07046
Abstract
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 .
12 pages, to appear in C. R. Math