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On Examples of Supersingular and Rationally Chain Connected Threefolds

Research paper by Santai Qu

Indexed on: 10 Nov '20Published on: 09 Sep '19Published in: arXiv - Mathematics - Algebraic Geometry



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.