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

PrithamPingali, V (2021) A note on Demailly's approach towards a conjecture of Griffiths. In: Comptes Rendus Mathematique, 359 (4). pp. 501-503.

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Official URL: https://doi.org/10.5802/CRMATH.192

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.

Item Type: Journal Article
Publication: Comptes Rendus Mathematique
Publisher: Academie des sciences
Additional Information: The copyright for this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 09 Jun 2023 08:58
Last Modified: 09 Jun 2023 08:58
URI: https://eprints.iisc.ac.in/id/eprint/81824

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