The Demailly systems with the vortex ansatz

Mandal, A (2023) The Demailly systems with the vortex ansatz. In: Bulletin des Sciences Mathematiques, 187 .

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Abstract

For an arbitrary-rank vector bundle over a projective manifold, J.-P. Demailly proposed several systems of equations of Hermitian-Yang-Mills type for the curvature tensor to settle a conjecture of Griffiths on the equivalence of Hartshorne ampleness and Griffiths positivity. In this article, we have studied two proposed systems and proved that these equations have smooth solutions for the Vortex bundle using the continuity method.

Item Type:	Journal Article
Publication:	Bulletin des Sciences Mathematiques
Publisher:	Elsevier Masson s.r.l.
Additional Information:	The copyright for this article belongs to the Author.
Keywords:	Ample vector bundle; Curvature tensor; Dual Nakano positivity; Elliptic operator; Griffiths positivity; Nakano positivity
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	04 Aug 2023 08:43
Last Modified:	04 Aug 2023 08:43
URI:	https://eprints.iisc.ac.in/id/eprint/82839

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