3 problems

Let $X$ be a smooth proper toric variety. For each positive integer $\ell$, the $\ell$th toric Frobenius morphism $F_{\ell}:X\to X$ is defined by extending…

Let $V$ be an $n$-dimensional projective variety over an algebraically closed field $k$ of characteristic zero with only rational singularities and with $K_V$ linearly trivial. Giv…

Let $Z$ be a $d$-dimensional projective variety over an algebraically closed field of characteristic zero with only rational singularities and with $K_Z$ linearly trivial. For a mo…