4 problems

Let $Y$ be a compact complex manifold of dimension $n+1$, let $F$ be a holomorphic line bundle on $Y$, and for a smooth closed $(1,1)$-form $\alpha$ define … Here the infimum is ov…

Regular-simplex minimizer conjecture. The $N$-dimensional regular simplex is a minimizer of this eigenvalue among all bounded, convex domains with the same volume.

Let $X$ be a compact Kähler manifold, and let $mu_1,mu_2$ be positive strong submeasures on $X$ with equal mass, $\lVert\mu_1\rVert=\lVert\mu_2\rVert$, and $mu_1\geq\mu_2$. A posit…

Let $X$ be a compact Kähler manifold of dimension $k$, let $T$ be a positive closed $(1,1)$ current on $X$, and let $A\reflexprsubset X$ be a subset. The notation…