Year: 2025
Type: article
Abstract: We show that submultiplicative norms on section rings of polarised projective manifolds are asymptotically equivalent to sup‐norms associated with metrics on the polarisation. We then discuss some applications to the spectral theory of submultiplicative filtrations, the asymptotic study of the Narasimhan–Simha pseudonorms and holomorphic extension theorem. As an unexpected byproduct, we show that injective and projective tensor norms on symmetric algebras of finite‐dimensional complex normed vector spaces are asymptotically equivalent.
DOI: 10.1112/plms.70077
Author: Siarhei Finski
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4412997609