On Seshadri constants of varieties with large fundamental group

Gabriele Di Cerbo, Luca F. Di Cerbo

Let $X$ be a smooth variety and let $L$ be an ample line bundle on $X$. If ${\pi }_1^{alg}(X)$ is large, we show that the Seshadri constant $\epsilon (p^{\ast }L)$ can be made arbitrarily large b…