Proposition 22.1.17`817C1BB3E570`

Proposition 22.1.17.817C1BB3E570 The maps $P_{\theta +\omega }[\bullet ]_{\mathcal{I}}$ in definition 22.1.14 and the injective maps proposition 22.1.6 together induce bijections

258B0F2A2F95 22.1.18

\begin{equation} \mathrm{PSH}^{\mathrm{NA}}(X,\theta )\xrightarrow {\sim } \varprojlim _{\omega }\mathrm{PSH}^{\mathrm{NA}}(X,\theta +\omega )_{>0}\xrightarrow {\sim } \varprojlim _{\omega }\mathrm{PSH}^{\mathrm{NA}}(X,\theta +\omega ), \end{equation}

where $\omega $ runs over either the partially ordered set of all smooth closed real positive $(1,1)$-forms with positive volume² on $X$ or $\textup{Käh}(X)$.

Cite this page

BibTeX citation

@misc{pome-tag-817C1BB3E570,
  author = {{Pome contributors}},
  title = {Proposition 22.1.17},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/817C1BB3E570/}
}

Comments

Corrections, questions, and mathematical discussion are welcome. Sign in with GitHub to comment. Comments are public.

Read this page’s discussion on GitHub Post a comment on GitHub

Proposition 22.1.17817C1BB3E570

Comments

Proposition 22.1.17`817C1BB3E570`