The Demailly system for a direct sum of ample line bundles on Riemann surfaces
Differential Geometry
2021-06-15 v2 Analysis of PDEs
Abstract
We prove that a system of equations introduced by Demailly (to attack a conjecture of Griffiths) has a smooth solution for a direct sum of ample line bundles on a Riemann surface. We also reduce the problem for general vector bundles to an a priori estimate using Leray-Schauder degree theory.
Keywords
Cite
@article{arxiv.2106.05775,
title = {The Demailly system for a direct sum of ample line bundles on Riemann surfaces},
author = {Vamsi Pritham Pingali},
journal= {arXiv preprint arXiv:2106.05775},
year = {2021}
}
Comments
Added a couple of remarks. Comments are most welcome