MathOverflow

Are there examples of plurisubharmonic functions that are bounded below but not continuous?

Let every integer $x$ be written in its finite balanced ternary expansion
$$x=\sum_{i\ge 0} a_i3^i,\qquad a_i\in\{-1,0,1\}.$$
Define a map $T:\mathbb Z\to\mathbb Z_{\ge 0}$ by

I consider an immersed curve $\gamma:\mathbb{S}^1\to \mathbb{S}^2\subset \mathbb{R}^3$ and a number $H>0$. I am looking for criteria allowing me to count the number of immersed constant mean curvature $H$ disks $u:\mathbb{D}^2\to \mathbb{R}^3$ such...

I need to know all the faces of the following three proper cones:
$K_1$ and $K_2$ in https://arxiv.org/pdf/2506.10319
$K_{2n}$ in https://arxiv.org/pdf/2510.06226