A note on Demailly’s approach towards a conjecture of Griffiths
- Resource Type
- article
- Authors
- Pingali, Vamsi Pritham
- Source
- Comptes Rendus. Mathématique, Vol 359, Iss 4, Pp 501-503 (2021)
- Subject
- Mathematics
QA1-939
- Language
- English
French
- ISSN
- 1778-3569
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.