A pointwise norm on a non-reduced analytic space
Complex Variables
2020-04-23 v2
Abstract
Let be a possibly non-reduced space of pure dimension. We introduce an essentially intrinsic pointwise Hermitian norm on smooth -forms, in particular on holomorphic functions, on . We prove that the space of holomorphic functions is complete with respect to the natural topology induced by this norm.
Cite
@article{arxiv.1811.09098,
title = {A pointwise norm on a non-reduced analytic space},
author = {Mats Andersson},
journal= {arXiv preprint arXiv:1811.09098},
year = {2020}
}