Remark 5.19.5`877B9D0BDD26`

Remark 5.19.5.877B9D0BDD26 Observe that

\[ \mathcal{Z}_+(X)/\sim \cong \mathrm{QPSH}(X)/\sim \]

canonically. The correspondence sends the class of a closed positive current $\theta _{\varphi }=\theta +\mathrm{dd}^{\mathrm{c}}\varphi $ to the class of $\varphi $.

We will adopt the following convention: Whenever we have a notion for quasi-plurisubharmonic functions which depends only on the singularity type, we use the same notation and the same definition for closed positive $(1,1)$-currents.

Cite this page

BibTeX citation

@misc{pome-tag-877B9D0BDD26,
  author = {{Pome contributors}},
  title = {Remark 5.19.5},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/877B9D0BDD26/}
}

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

Remark 5.19.5877B9D0BDD26

Comments

Remark 5.19.5`877B9D0BDD26`