A pointwise norm on a non-reduced analytic space
Journal article, 2022

Let X be a possibly non-reduced space of pure dimension. We introduce a pointwise Hermitian norm on smooth (0,q)-forms, in particular on holomorphic functions, on X. The norm is is canonical, up to equivalence, where the underlying reduced space is a manifold. We prove that the space of holomorphic functions is complete with respect to the natural topology induced by this norm.

Author

Mats Andersson

Chalmers, Mathematical Sciences, Algebra and geometry

Journal of Functional Analysis

0022-1236 (ISSN) 1096-0783 (eISSN)

Vol. In Press 109520

Subject Categories

Mathematical Analysis

DOI

10.1016/j.jfa.2022.109520

More information

Latest update

6/21/2022