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arXiv · 2106.05775

The Demailly system for a direct sum of ample line bundles on Riemann surfaces

Vamsi Pritham Pingali
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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.

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Vamsi Pritham Pingali. 2021-06-10. The Demailly system for a direct sum of ample line bundles on Riemann surfaces. https://arxiv.org/abs/2106.05775

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