Segre forms and Kobayashi-L\"ubke inequality
Complex Variables
2017-04-04 v3 Algebraic Geometry
Differential Geometry
Abstract
Starting from the description of Segre forms as direct images of (powers of) the first Chern form of the (anti)tautological line bundle on the projectivized bundle of a holomorphic hermitian vector bundle, we derive a version of the pointwise Kobayashi-L\"ubke inequality.
Cite
@article{arxiv.1503.02512,
title = {Segre forms and Kobayashi-L\"ubke inequality},
author = {Simone Diverio},
journal= {arXiv preprint arXiv:1503.02512},
year = {2017}
}
Comments
14 pages, no figures, comments are really very welcome! v2: Title changed, and added how to formally derive our main inequality from the Kobayashi-L\"ubke one following the suggestions of an anonymous referee. v3: some other minor changes and a remark added in the introduction following referee's suggestions. Final version, to appear on Math. Z