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

Pingali, VP (2023) The Demailly system for a direct sum of ample line bundles on Riemann surfaces. In: Calculus of Variations and Partial Differential Equations, 62 (6).

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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.

Item Type:	Journal Article
Publication:	Calculus of Variations and Partial Differential Equations
Publisher:	Springer Science and Business Media Deutschland GmbH
Additional Information:	The copyright for this article belongs to the Springer Science and Business Media Deutschland GmbH.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	14 Jul 2023 06:16
Last Modified:	14 Jul 2023 06:16
URI:	https://eprints.iisc.ac.in/id/eprint/82387

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