A note on Demailly's approach towards a conjecture of Griffiths

2021/02/04 by Pingali, Vamsi Pritham · 3 citations
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2102.02496

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.

Cited by

• Uniform RC-positivity of direct image bundles
• An analytic proof of Griffiths' conjecture on compact Riemann surfaces
• Mean curvature of direct image bundles

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