Twisted Nakano-Positivity of Fields of Hilbert Spaces
Complex Variables
2021-11-11 v1 Differential Geometry
Abstract
In a previous article (arXiv:2111.03143), we generalized Berndtsson's Nakano-positivity by retaining the same consequences under weaker hypotheses. In this article, we propose to further generalize our "twisted" Nakano-positivity theorem to fields of Hilbert spaces associated to possibly unbounded Stein manifolds. We achieve this result using exhaustion arguments. As direct applications, we prove -plurisubharmonic variation results for a certain class of non-trivial families of Stein manifolds.
Keywords
Cite
@article{arxiv.2111.05832,
title = {Twisted Nakano-Positivity of Fields of Hilbert Spaces},
author = {El Mehdi Ainasse},
journal= {arXiv preprint arXiv:2111.05832},
year = {2021}
}