3 problems

Let $f$ be a singular complex analytic germ at $0\in\mathbb{C}^{n}$ with $f(0)=0$, and let $\varphi$ be a Schwarz function on $\mathbb{C}^{n}$ with sufficiently small support and…

Demailly–Kollár's conjecture. The set $\mathcal{C}(n)$ satisfies the ascending chain condition: every ascending sequence in $\mathcal{C}(n)$ eventually stabilizes.

Let $X \subset \mathbb{C}^N$ be a variety of dimension $n$ with a normal isolated singularity at $0$. For sufficiently small $\epsilon>0$, let $L_{X,\epsilon}$ be its link, and let…