Cohomology dimension growth for Nakano $q$-semipositive line bundles
Complex Variables
2022-08-17 v1 Differential Geometry
Abstract
We study the cohomology with high tensor powers of Nakano -semipositive line bundles on complex manifolds. We obtain the asymptotic estimates for the dimension of cohomology with high tensor powers of semipositive line bundles over q-convex manifolds and various possibly non-compact complex manifolds, in which the order of estimates are optimal. Besides, estimates for the modified Dirac operator on Nakano -positive line bundle on almost complex manifolds are given.
Keywords
Cite
@article{arxiv.1909.12133,
title = {Cohomology dimension growth for Nakano $q$-semipositive line bundles},
author = {Huan Wang},
journal= {arXiv preprint arXiv:1909.12133},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:1810.09881