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On Examples of Supersingular and Rationally Chain Connected Threefolds

Santai Qu Stony Brook University

Algebraic Geometry mathscidoc:2205.45003

Journal of Algebra, 2020.5
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.
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@inproceedings{santai2020on,
  title={On Examples of Supersingular and Rationally Chain Connected Threefolds},
  author={Santai Qu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517141518992190216},
  booktitle={Journal of Algebra},
  year={2020},
}
Santai Qu. On Examples of Supersingular and Rationally Chain Connected Threefolds. 2020. In Journal of Algebra. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517141518992190216.
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