A note on asymptotic Serre duality for jet differentials
Mohammad Reza Rahmati
TL;DR
This paper establishes an asymptotic duality for jet bundles over projective manifolds, extending previous results on the existence of global sections for these bundles and their duals.
Contribution
It formulates and proves an asymptotic Serre duality along fibers of Green-Griffiths jet bundles, advancing the understanding of their duality properties.
Findings
Proves existence of asymptotic duality for jet bundles
Establishes global sections for jet bundles and their dual sheaves
Extends previous work on global sections in jet bundle theory
Abstract
We formulate and prove the existence of an asymptotic duality along the fibers of the Green-Griffiths jet bundles over projective manifolds. The existence of global sections for these bundles and also for their dual sheaves has been established by the author and J. P. Demailly in a previous article, [3].
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