论文标题
戒指节的士兵规范和过滤
Submultiplicative norms and filtrations on section rings
论文作者
论文摘要
我们表明，极化歧管的截面环上的亚载体规范在极化上与与指标相关的sup-norm渐变。然后，我们讨论了一些应用于亚载体过滤的光谱理论，Narasimhan-Simha伪型的渐近研究以及霍明型扩展定理。作为一种意外的副产品，我们表明在有限尺寸复杂范围矢量空间的对称代数上的注射和投射张量规范在渐近上是等效的。
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.
