On Examples of Supersingular and Rationally Chain Connected Threefolds
arXiv:1909.04184
Abstract
In this work, we show that for a certain class of threefolds in positive characteristics, rational-chain-connectivity is equivalent to supersingularity. The same result is known for K3 surfaces with elliptic fibrations. And there are examples of threefolds that are both supersingular and rationally chain connected.