3 problems

Let $(X,D_X)$ be a log canonical pair with standard coefficients, where … with each $D_i$ a prime divisor and $m_i\in\mathbb{Z}_{>0}\cup\{\infty\}$. The orbifold fundamental group…

Let $k$ be an integer for which the indicated trigonal stratum ${\mathbf P}{\mathcal H}^{tri}_{3k+1}(4k,2k)$ is defined, and let…

Let $(X,D)$ be a log Fano pair, meaning that $(X,D)$ has klt singularities and $-(K_X+D)$ is ample. Assume … Let $X^0\subset X$ be an open subset with…