A note on Demailly's approach towards a conjecture of Griffiths
Differential Geometry
2021-02-05 v1
Abstract
We prove that a "cushioned" Hermitian-Einstein-type equation proposed by Demailly in an approach towards a conjecture of Griffiths on the existence of a Griffiths positively curved metric on a Hartshorne ample vector bundle, has an essentially unique solution when the bundle is stable. This result indicates that the proposed approach must be modified in order to attack the aforementioned conjecture of Griffiths.
Keywords
Cite
@article{arxiv.2102.02496,
title = {A note on Demailly's approach towards a conjecture of Griffiths},
author = {Vamsi Pritham Pingali},
journal= {arXiv preprint arXiv:2102.02496},
year = {2021}
}
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3 pages